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Finding the Fourth Proportional to 125,419.87, 188,162.61 and 72,778.78

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Solution

The fourth proportional to 125,419.87, 188,162.61 and 72,778.78 is: 109,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,419.87 : 188,162.61 = 72,778.78 : x
  2. Step 2: Convert to fraction form
    125,419.87/188,162.61 = 72,778.78/x
  3. Step 3: Cross multiply
    125,419.87x = 188,162.61 × 72,778.78
  4. Step 4: Simplify right side
    125,419.87x = 13,694,245,197.42
  5. Step 5: Solve for x
    x = 13,694,245,197.42/125,419.87
  6. Step 6: Final answer
    x = 109,187.21

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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.