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Finding the Fourth Proportional to 218,612.80, 327,773.40 and 100,223.20

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Solution

The fourth proportional to 218,612.80, 327,773.40 and 100,223.20 is: 150,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,612.80 : 327,773.40 = 100,223.20 : x
  2. Step 2: Convert to fraction form
    218,612.80/327,773.40 = 100,223.20/x
  3. Step 3: Cross multiply
    218,612.80x = 327,773.40 × 100,223.20
  4. Step 4: Simplify right side
    218,612.80x = 32,850,499,022.88
  5. Step 5: Solve for x
    x = 32,850,499,022.88/218,612.80
  6. Step 6: Final answer
    x = 150,267.96

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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.