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Finding the Fourth Proportional to 80,422.80, 120,575.88 and 54,062.16

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Solution

The fourth proportional to 80,422.80, 120,575.88 and 54,062.16 is: 81,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,422.80 : 120,575.88 = 54,062.16 : x
  2. Step 2: Convert to fraction form
    80,422.80/120,575.88 = 54,062.16/x
  3. Step 3: Cross multiply
    80,422.80x = 120,575.88 × 54,062.16
  4. Step 4: Simplify right side
    80,422.80x = 6,518,592,516.70
  5. Step 5: Solve for x
    x = 6,518,592,516.70/80,422.80
  6. Step 6: Final answer
    x = 81,054.04

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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.