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Finding the Fourth Proportional to 138,381.87, 207,411.49 and 63,509.92

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Solution

The fourth proportional to 138,381.87, 207,411.49 and 63,509.92 is: 95,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,381.87 : 207,411.49 = 63,509.92 : x
  2. Step 2: Convert to fraction form
    138,381.87/207,411.49 = 63,509.92/x
  3. Step 3: Cross multiply
    138,381.87x = 207,411.49 × 63,509.92
  4. Step 4: Simplify right side
    138,381.87x = 13,172,687,136.98
  5. Step 5: Solve for x
    x = 13,172,687,136.98/138,381.87
  6. Step 6: Final answer
    x = 95,190.84

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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.