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Finding the Fourth Proportional to 157,874.80, 217,860.42 and 86,251.36

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Solution

The fourth proportional to 157,874.80, 217,860.42 and 86,251.36 is: 119,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,874.80 : 217,860.42 = 86,251.36 : x
  2. Step 2: Convert to fraction form
    157,874.80/217,860.42 = 86,251.36/x
  3. Step 3: Cross multiply
    157,874.80x = 217,860.42 × 86,251.36
  4. Step 4: Simplify right side
    157,874.80x = 18,790,757,515.17
  5. Step 5: Solve for x
    x = 18,790,757,515.17/157,874.80
  6. Step 6: Final answer
    x = 119,023.16

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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.