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Finding the Fourth Proportional to 80,462.92, 120,694.46 and 27,872.40

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Solution

The fourth proportional to 80,462.92, 120,694.46 and 27,872.40 is: 41,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,462.92 : 120,694.46 = 27,872.40 : x
  2. Step 2: Convert to fraction form
    80,462.92/120,694.46 = 27,872.40/x
  3. Step 3: Cross multiply
    80,462.92x = 120,694.46 × 27,872.40
  4. Step 4: Simplify right side
    80,462.92x = 3,364,044,580.15
  5. Step 5: Solve for x
    x = 3,364,044,580.15/80,462.92
  6. Step 6: Final answer
    x = 41,808.63

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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.