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Finding the Fourth Proportional to 157,381.92, 217,187.16 and 85,761.96

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Solution

The fourth proportional to 157,381.92, 217,187.16 and 85,761.96 is: 118,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,381.92 : 217,187.16 = 85,761.96 : x
  2. Step 2: Convert to fraction form
    157,381.92/217,187.16 = 85,761.96/x
  3. Step 3: Cross multiply
    157,381.92x = 217,187.16 × 85,761.96
  4. Step 4: Simplify right side
    157,381.92x = 18,626,396,528.43
  5. Step 5: Solve for x
    x = 18,626,396,528.43/157,381.92
  6. Step 6: Final answer
    x = 118,351.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.