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Finding the Fourth Proportional to 135,902.39, 187,544.57 and 74,649.78

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Solution

The fourth proportional to 135,902.39, 187,544.57 and 74,649.78 is: 103,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,902.39 : 187,544.57 = 74,649.78 : x
  2. Step 2: Convert to fraction form
    135,902.39/187,544.57 = 74,649.78/x
  3. Step 3: Cross multiply
    135,902.39x = 187,544.57 × 74,649.78
  4. Step 4: Simplify right side
    135,902.39x = 14,000,160,517.45
  5. Step 5: Solve for x
    x = 14,000,160,517.45/135,902.39
  6. Step 6: Final answer
    x = 103,016.30

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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.