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Finding the Fourth Proportional to 71,805, 107,711.82 and 22,557

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Solution

The fourth proportional to 71,805, 107,711.82 and 22,557 is: 33,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,805 : 107,711.82 = 22,557 : x
  2. Step 2: Convert to fraction form
    71,805/107,711.82 = 22,557/x
  3. Step 3: Cross multiply
    71,805x = 107,711.82 × 22,557
  4. Step 4: Simplify right side
    71,805x = 2,429,655,523.74
  5. Step 5: Solve for x
    x = 2,429,655,523.74/71,805
  6. Step 6: Final answer
    x = 33,836.86

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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.