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Finding the Fourth Proportional to 157,386.96, 234,863.10 and 140,565.96

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Solution

The fourth proportional to 157,386.96, 234,863.10 and 140,565.96 is: 209,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,386.96 : 234,863.10 = 140,565.96 : x
  2. Step 2: Convert to fraction form
    157,386.96/234,863.10 = 140,565.96/x
  3. Step 3: Cross multiply
    157,386.96x = 234,863.10 × 140,565.96
  4. Step 4: Simplify right side
    157,386.96x = 33,013,757,120.08
  5. Step 5: Solve for x
    x = 33,013,757,120.08/157,386.96
  6. Step 6: Final answer
    x = 209,761.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.