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Finding the Fourth Proportional to 71,134.80, 106,702.24 and 21,249.92

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Solution

The fourth proportional to 71,134.80, 106,702.24 and 21,249.92 is: 31,874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,134.80 : 106,702.24 = 21,249.92 : x
  2. Step 2: Convert to fraction form
    71,134.80/106,702.24 = 21,249.92/x
  3. Step 3: Cross multiply
    71,134.80x = 106,702.24 × 21,249.92
  4. Step 4: Simplify right side
    71,134.80x = 2,267,414,063.82
  5. Step 5: Solve for x
    x = 2,267,414,063.82/71,134.80
  6. Step 6: Final answer
    x = 31,874.89

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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.