You have quoted from a slightly garbled version of Ogden Nash's poem which can be found in many places on the internet. You might have guessed there was something wrong with the quotation from the failure of scansion. (Nash wrote many prose-like verses with no pretense of scansion, but this was not one of them.) Here is the last stanza as it appears in Nash's 1941 collection The Face Is Familiar (emphasis added):
Athletes, I'll drink to you or eat with you,
Or anything except compete with you;
Buy tickets worth their weight in radium
To watch you gambol in a stadium,
And reassure myself anew
That you're not me and I'm not you.
The reasons for putting "radium" here have been explained in another answer:
(1) "worth one's weight in gold" is a popular idiom;
(2) radium is rarer and costlier than gold;
(3) and mainly, "radium" rhymes with "stadium" whereas "gold" does not.