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Finding the Fourth Proportional to 138,483.75, 207,704.57 and 38,633.43

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Solution

The fourth proportional to 138,483.75, 207,704.57 and 38,633.43 is: 57,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,483.75 : 207,704.57 = 38,633.43 : x
  2. Step 2: Convert to fraction form
    138,483.75/207,704.57 = 38,633.43/x
  3. Step 3: Cross multiply
    138,483.75x = 207,704.57 × 38,633.43
  4. Step 4: Simplify right side
    138,483.75x = 8,024,339,772.61
  5. Step 5: Solve for x
    x = 8,024,339,772.61/138,483.75
  6. Step 6: Final answer
    x = 57,944.27

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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.