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Finding the Fourth Proportional to 137,251.30, 189,404.92 and 76,821.92

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Solution

The fourth proportional to 137,251.30, 189,404.92 and 76,821.92 is: 106,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,251.30 : 189,404.92 = 76,821.92 : x
  2. Step 2: Convert to fraction form
    137,251.30/189,404.92 = 76,821.92/x
  3. Step 3: Cross multiply
    137,251.30x = 189,404.92 × 76,821.92
  4. Step 4: Simplify right side
    137,251.30x = 14,550,449,611.85
  5. Step 5: Solve for x
    x = 14,550,449,611.85/137,251.30
  6. Step 6: Final answer
    x = 106,013.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.