Finding the Fourth Proportional to 75,684.10, 113,539.92 and 31,286.74
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Solution
The fourth proportional to 75,684.10, 113,539.92 and 31,286.74 is: 46,935.80
Step by Step Solution
- Step 1: Write the proportion equation
75,684.10 : 113,539.92 = 31,286.74 : x - Step 2: Convert to fraction form
75,684.10/113,539.92 = 31,286.74/x - Step 3: Cross multiply
75,684.10x = 113,539.92 × 31,286.74 - Step 4: Simplify right side
75,684.10x = 3,552,293,956.66 - Step 5: Solve for x
x = 3,552,293,956.66/75,684.10 - Step 6: Final answer
x = 46,935.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.