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Finding the Fourth Proportional to 125,414.10, 188,121.15 and 75,647.70

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Solution

The fourth proportional to 125,414.10, 188,121.15 and 75,647.70 is: 113,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,414.10 : 188,121.15 = 75,647.70 : x
  2. Step 2: Convert to fraction form
    125,414.10/188,121.15 = 75,647.70/x
  3. Step 3: Cross multiply
    125,414.10x = 188,121.15 × 75,647.70
  4. Step 4: Simplify right side
    125,414.10x = 14,230,932,318.86
  5. Step 5: Solve for x
    x = 14,230,932,318.86/125,414.10
  6. Step 6: Final answer
    x = 113,471.55

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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.