next after the thirty-ninth; being the ordinal number for 40.
being one of 40 equal parts.
a fortieth part, especially of one (1/40).
the fortieth member of a series.

before 1100; Middle English fourtithe, Old English fēowertigotha. See forty, -eth Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
fortieth (ˈfɔːtɪɪθ)
1.  a.  being the ordinal number of forty in numbering or counting order, position, time, etc. Often written: 40th
 b.  (as noun): he was the fortieth
2.  a.  one of 40 approximately equal parts of something
 b.  (as modifier): a fortieth part
3.  the fraction equal to one divided by 40 (1/40)
[Old English fēowertigotha]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Example sentences
They also have only about a fortieth as many stars as in present-day spiral galaxies.
She was in the latter half of her fortieth year, quite well preserved and seemingly had not yet reached her menopause.
In this manner did he live from the fortieth or forty-second to the ninetieth year of his age.
Next week, the fortieth anniversary of the original moonwalk.
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