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Finding the Fourth Proportional to 80,722.80, 120,796.20 and 51,154.80

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Solution

The fourth proportional to 80,722.80, 120,796.20 and 51,154.80 is: 76,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,722.80 : 120,796.20 = 51,154.80 : x
  2. Step 2: Convert to fraction form
    80,722.80/120,796.20 = 51,154.80/x
  3. Step 3: Cross multiply
    80,722.80x = 120,796.20 × 51,154.80
  4. Step 4: Simplify right side
    80,722.80x = 6,179,305,451.76
  5. Step 5: Solve for x
    x = 6,179,305,451.76/80,722.80
  6. Step 6: Final answer
    x = 76,549.69

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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.