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Finding the Fourth Proportional to 71,937.90, 107,919.14 and 22,012.78

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Solution

The fourth proportional to 71,937.90, 107,919.14 and 22,012.78 is: 33,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,937.90 : 107,919.14 = 22,012.78 : x
  2. Step 2: Convert to fraction form
    71,937.90/107,919.14 = 22,012.78/x
  3. Step 3: Cross multiply
    71,937.90x = 107,919.14 × 22,012.78
  4. Step 4: Simplify right side
    71,937.90x = 2,375,600,286.61
  5. Step 5: Solve for x
    x = 2,375,600,286.61/71,937.90
  6. Step 6: Final answer
    x = 33,022.93

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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.