The weighing of the balance scale required to find a lighter counterfeit coin among four coins, is twice.
In just two balance scale weighs, it is feasible to identify which of four coins is the lighter fake coin. Here is one approach:
Then, weigh the two groups against one another after splitting the four coins into two groups of two coins each. The lighter counterfeit currency must belong to the group that is lighter than the other if there are two groups. If the two groups of coins weigh the same, then one of the two remaining coins must be the lighter counterfeit coin.
Weigh the two coins from the lighter group (or the two still present, if the first step was unsuccessful) against one another.
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