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Finding the Fourth Proportional to 101,575.71, 152,381.25 and 42,452.91

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Solution

The fourth proportional to 101,575.71, 152,381.25 and 42,452.91 is: 63,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,575.71 : 152,381.25 = 42,452.91 : x
  2. Step 2: Convert to fraction form
    101,575.71/152,381.25 = 42,452.91/x
  3. Step 3: Cross multiply
    101,575.71x = 152,381.25 × 42,452.91
  4. Step 4: Simplify right side
    101,575.71x = 6,469,027,491.94
  5. Step 5: Solve for x
    x = 6,469,027,491.94/101,575.71
  6. Step 6: Final answer
    x = 63,686.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.