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Finding the Fourth Proportional to 125,138.92, 187,708.38 and 31,644.64

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Solution

The fourth proportional to 125,138.92, 187,708.38 and 31,644.64 is: 47,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,138.92 : 187,708.38 = 31,644.64 : x
  2. Step 2: Convert to fraction form
    125,138.92/187,708.38 = 31,644.64/x
  3. Step 3: Cross multiply
    125,138.92x = 187,708.38 × 31,644.64
  4. Step 4: Simplify right side
    125,138.92x = 5,939,964,110.08
  5. Step 5: Solve for x
    x = 5,939,964,110.08/125,138.92
  6. Step 6: Final answer
    x = 47,466.96

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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.