Finding the Fourth Proportional to 82,314, 113,619.24 and 52,506
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Solution
The fourth proportional to 82,314, 113,619.24 and 52,506 is: 72,474.81
Step by Step Solution
- Step 1: Write the proportion equation
82,314 : 113,619.24 = 52,506 : x - Step 2: Convert to fraction form
82,314/113,619.24 = 52,506/x - Step 3: Cross multiply
82,314x = 113,619.24 × 52,506 - Step 4: Simplify right side
82,314x = 5,965,691,815.44 - Step 5: Solve for x
x = 5,965,691,815.44/82,314 - Step 6: Final answer
x = 72,474.81
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.