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Finding the Fourth Proportional to 80,614.80, 120,776.40 and 65,743.20

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Solution

The fourth proportional to 80,614.80, 120,776.40 and 65,743.20 is: 98,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,614.80 : 120,776.40 = 65,743.20 : x
  2. Step 2: Convert to fraction form
    80,614.80/120,776.40 = 65,743.20/x
  3. Step 3: Cross multiply
    80,614.80x = 120,776.40 × 65,743.20
  4. Step 4: Simplify right side
    80,614.80x = 7,940,227,020.48
  5. Step 5: Solve for x
    x = 7,940,227,020.48/80,614.80
  6. Step 6: Final answer
    x = 98,495.90

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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.