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Finding the Fourth Proportional to 138,769.20, 208,153.80 and 75,564.90

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Solution

The fourth proportional to 138,769.20, 208,153.80 and 75,564.90 is: 113,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769.20 : 208,153.80 = 75,564.90 : x
  2. Step 2: Convert to fraction form
    138,769.20/208,153.80 = 75,564.90/x
  3. Step 3: Cross multiply
    138,769.20x = 208,153.80 × 75,564.90
  4. Step 4: Simplify right side
    138,769.20x = 15,729,121,081.62
  5. Step 5: Solve for x
    x = 15,729,121,081.62/138,769.20
  6. Step 6: Final answer
    x = 113,347.35

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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.