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Finding the Fourth Proportional to 218,080.20, 327,023.10 and 99,690.60

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Solution

The fourth proportional to 218,080.20, 327,023.10 and 99,690.60 is: 149,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,080.20 : 327,023.10 = 99,690.60 : x
  2. Step 2: Convert to fraction form
    218,080.20/327,023.10 = 99,690.60/x
  3. Step 3: Cross multiply
    218,080.20x = 327,023.10 × 99,690.60
  4. Step 4: Simplify right side
    218,080.20x = 32,601,129,052.86
  5. Step 5: Solve for x
    x = 32,601,129,052.86/218,080.20
  6. Step 6: Final answer
    x = 149,491.47

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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.