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Finding the Fourth Proportional to 80,101.17, 120,168.70 and 30,180.20

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Solution

The fourth proportional to 80,101.17, 120,168.70 and 30,180.20 is: 45,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,101.17 : 120,168.70 = 30,180.20 : x
  2. Step 2: Convert to fraction form
    80,101.17/120,168.70 = 30,180.20/x
  3. Step 3: Cross multiply
    80,101.17x = 120,168.70 × 30,180.20
  4. Step 4: Simplify right side
    80,101.17x = 3,626,714,723.45
  5. Step 5: Solve for x
    x = 3,626,714,723.45/80,101.17
  6. Step 6: Final answer
    x = 45,276.68

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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.