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Finding the Fourth Proportional to 80,659.62, 120,822.98 and 47,278.31

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Solution

The fourth proportional to 80,659.62, 120,822.98 and 47,278.31 is: 70,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,659.62 : 120,822.98 = 47,278.31 : x
  2. Step 2: Convert to fraction form
    80,659.62/120,822.98 = 47,278.31/x
  3. Step 3: Cross multiply
    80,659.62x = 120,822.98 × 47,278.31
  4. Step 4: Simplify right side
    80,659.62x = 5,712,305,463.06
  5. Step 5: Solve for x
    x = 5,712,305,463.06/80,659.62
  6. Step 6: Final answer
    x = 70,819.89

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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.