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Finding the Fourth Proportional to 69,350, 95,715.98 and 39,542

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Solution

The fourth proportional to 69,350, 95,715.98 and 39,542 is: 54,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,350 : 95,715.98 = 39,542 : x
  2. Step 2: Convert to fraction form
    69,350/95,715.98 = 39,542/x
  3. Step 3: Cross multiply
    69,350x = 95,715.98 × 39,542
  4. Step 4: Simplify right side
    69,350x = 3,784,801,281.16
  5. Step 5: Solve for x
    x = 3,784,801,281.16/69,350
  6. Step 6: Final answer
    x = 54,575.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.