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Finding the Fourth Proportional to 124,909.46, 187,362.46 and 30,138.86

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Solution

The fourth proportional to 124,909.46, 187,362.46 and 30,138.86 is: 45,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,909.46 : 187,362.46 = 30,138.86 : x
  2. Step 2: Convert to fraction form
    124,909.46/187,362.46 = 30,138.86/x
  3. Step 3: Cross multiply
    124,909.46x = 187,362.46 × 30,138.86
  4. Step 4: Simplify right side
    124,909.46x = 5,646,890,951.20
  5. Step 5: Solve for x
    x = 5,646,890,951.20/124,909.46
  6. Step 6: Final answer
    x = 45,207.87

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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.