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Finding the Fourth Proportional to 90,463.92, 135,704.52 and 40,542

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Solution

The fourth proportional to 90,463.92, 135,704.52 and 40,542 is: 60,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,463.92 : 135,704.52 = 40,542 : x
  2. Step 2: Convert to fraction form
    90,463.92/135,704.52 = 40,542/x
  3. Step 3: Cross multiply
    90,463.92x = 135,704.52 × 40,542
  4. Step 4: Simplify right side
    90,463.92x = 5,501,732,649.84
  5. Step 5: Solve for x
    x = 5,501,732,649.84/90,463.92
  6. Step 6: Final answer
    x = 60,816.87

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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.