Born a minor member of the house of Brandenburg-Bayreuth, Frederick's fate changed in 1726, when his father inherited the principality of Bayreuth after a long dispute with the kingdom of Prussia over his rights of succession.
His wife finally did succeed in gaining influence, however, and a young secretary, Philipp Elrodt, was appointed to handle financial matters.
In this role, Philipp attacked government corruption and cronyism, uncovered irregularities in the finances of the margraviate, retired old debts, and identified new sources of income.
As a result of this fiscal reform, Frederick was able to increase Wilhelmine's allowance, and she purchased a summer residence called the Eremitage.
The cultured margrave showed his appreciation of art and science by establishing the margraviate's Regional University in Bayreuth in 1742, which was moved one year later, in 1743, to Erlangen.
The union produced only one child, a daughter: In Brunswick on September 20, 1759, about a year after Wilhelmine's death from illness, Frederick married Duchess Sophie Caroline Marie of Brunswick-Wolfenbüttel.