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Finding the Fourth Proportional to 71,839, 107,775.78 and 22,591

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Solution

The fourth proportional to 71,839, 107,775.78 and 22,591 is: 33,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,839 : 107,775.78 = 22,591 : x
  2. Step 2: Convert to fraction form
    71,839/107,775.78 = 22,591/x
  3. Step 3: Cross multiply
    71,839x = 107,775.78 × 22,591
  4. Step 4: Simplify right side
    71,839x = 2,434,762,645.98
  5. Step 5: Solve for x
    x = 2,434,762,645.98/71,839
  6. Step 6: Final answer
    x = 33,891.93

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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.