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Finding the Fourth Proportional to 157,734, 217,692 and 89,767.49

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Solution

The fourth proportional to 157,734, 217,692 and 89,767.49 is: 123,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,734 : 217,692 = 89,767.49 : x
  2. Step 2: Convert to fraction form
    157,734/217,692 = 89,767.49/x
  3. Step 3: Cross multiply
    157,734x = 217,692 × 89,767.49
  4. Step 4: Simplify right side
    157,734x = 19,541,663,344.62
  5. Step 5: Solve for x
    x = 19,541,663,344.62/157,734
  6. Step 6: Final answer
    x = 123,889.99

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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.