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Finding the Fourth Proportional to 125,221.48, 187,863 and 36,475.78

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Solution

The fourth proportional to 125,221.48, 187,863 and 36,475.78 is: 54,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,221.48 : 187,863 = 36,475.78 : x
  2. Step 2: Convert to fraction form
    125,221.48/187,863 = 36,475.78/x
  3. Step 3: Cross multiply
    125,221.48x = 187,863 × 36,475.78
  4. Step 4: Simplify right side
    125,221.48x = 6,852,449,458.14
  5. Step 5: Solve for x
    x = 6,852,449,458.14/125,221.48
  6. Step 6: Final answer
    x = 54,722.64

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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.