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Finding the Fourth Proportional to 125,425.60, 188,138.40 and 75,659.20

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Solution

The fourth proportional to 125,425.60, 188,138.40 and 75,659.20 is: 113,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,425.60 : 188,138.40 = 75,659.20 : x
  2. Step 2: Convert to fraction form
    125,425.60/188,138.40 = 75,659.20/x
  3. Step 3: Cross multiply
    125,425.60x = 188,138.40 × 75,659.20
  4. Step 4: Simplify right side
    125,425.60x = 14,234,400,833.28
  5. Step 5: Solve for x
    x = 14,234,400,833.28/125,425.60
  6. Step 6: Final answer
    x = 113,488.80

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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.