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Finding the Fourth Proportional to 71,790, 107,689.32 and 22,542

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Solution

The fourth proportional to 71,790, 107,689.32 and 22,542 is: 33,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,790 : 107,689.32 = 22,542 : x
  2. Step 2: Convert to fraction form
    71,790/107,689.32 = 22,542/x
  3. Step 3: Cross multiply
    71,790x = 107,689.32 × 22,542
  4. Step 4: Simplify right side
    71,790x = 2,427,532,651.44
  5. Step 5: Solve for x
    x = 2,427,532,651.44/71,790
  6. Step 6: Final answer
    x = 33,814.36

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