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Finding the Fourth Proportional to 157,877.28, 217,868.09 and 86,255.76

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Solution

The fourth proportional to 157,877.28, 217,868.09 and 86,255.76 is: 119,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,877.28 : 217,868.09 = 86,255.76 : x
  2. Step 2: Convert to fraction form
    157,877.28/217,868.09 = 86,255.76/x
  3. Step 3: Cross multiply
    157,877.28x = 217,868.09 × 86,255.76
  4. Step 4: Simplify right side
    157,877.28x = 18,792,377,251.42
  5. Step 5: Solve for x
    x = 18,792,377,251.42/157,877.28
  6. Step 6: Final answer
    x = 119,031.55

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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.