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Finding the Fourth Proportional to 135,691.44, 187,254.84 and 75,257.88

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Solution

The fourth proportional to 135,691.44, 187,254.84 and 75,257.88 is: 103,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,691.44 : 187,254.84 = 75,257.88 : x
  2. Step 2: Convert to fraction form
    135,691.44/187,254.84 = 75,257.88/x
  3. Step 3: Cross multiply
    135,691.44x = 187,254.84 × 75,257.88
  4. Step 4: Simplify right side
    135,691.44x = 14,092,402,278.14
  5. Step 5: Solve for x
    x = 14,092,402,278.14/135,691.44
  6. Step 6: Final answer
    x = 103,856.24

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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.