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Finding the Fourth Proportional to 135,542.38, 187,049.54 and 75,114

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Solution

The fourth proportional to 135,542.38, 187,049.54 and 75,114 is: 103,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,542.38 : 187,049.54 = 75,114 : x
  2. Step 2: Convert to fraction form
    135,542.38/187,049.54 = 75,114/x
  3. Step 3: Cross multiply
    135,542.38x = 187,049.54 × 75,114
  4. Step 4: Simplify right side
    135,542.38x = 14,050,038,912.83
  5. Step 5: Solve for x
    x = 14,050,038,912.83/135,542.38
  6. Step 6: Final answer
    x = 103,657.90

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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.