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Finding the Fourth Proportional to 138,744.72, 191,468.19 and 75,082.50

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Solution

The fourth proportional to 138,744.72, 191,468.19 and 75,082.50 is: 103,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,744.72 : 191,468.19 = 75,082.50 : x
  2. Step 2: Convert to fraction form
    138,744.72/191,468.19 = 75,082.50/x
  3. Step 3: Cross multiply
    138,744.72x = 191,468.19 × 75,082.50
  4. Step 4: Simplify right side
    138,744.72x = 14,375,909,042.92
  5. Step 5: Solve for x
    x = 14,375,909,042.92/138,744.72
  6. Step 6: Final answer
    x = 103,614.10

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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.