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Finding the Fourth Proportional to 135,129.41, 186,480.85 and 78,540.78

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Solution

The fourth proportional to 135,129.41, 186,480.85 and 78,540.78 is: 108,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,129.41 : 186,480.85 = 78,540.78 : x
  2. Step 2: Convert to fraction form
    135,129.41/186,480.85 = 78,540.78/x
  3. Step 3: Cross multiply
    135,129.41x = 186,480.85 × 78,540.78
  4. Step 4: Simplify right side
    135,129.41x = 14,646,351,414.06
  5. Step 5: Solve for x
    x = 14,646,351,414.06/135,129.41
  6. Step 6: Final answer
    x = 108,387.60

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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.