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Finding the Fourth Proportional to 138,887.46, 207,876.60 and 75,549.42

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Solution

The fourth proportional to 138,887.46, 207,876.60 and 75,549.42 is: 113,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,887.46 : 207,876.60 = 75,549.42 : x
  2. Step 2: Convert to fraction form
    138,887.46/207,876.60 = 75,549.42/x
  3. Step 3: Cross multiply
    138,887.46x = 207,876.60 × 75,549.42
  4. Step 4: Simplify right side
    138,887.46x = 15,704,956,561.57
  5. Step 5: Solve for x
    x = 15,704,956,561.57/138,887.46
  6. Step 6: Final answer
    x = 113,076.85

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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.