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Finding the Fourth Proportional to 218,906.60, 327,630.90 and 158,764.10

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Solution

The fourth proportional to 218,906.60, 327,630.90 and 158,764.10 is: 237,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,906.60 : 327,630.90 = 158,764.10 : x
  2. Step 2: Convert to fraction form
    218,906.60/327,630.90 = 158,764.10/x
  3. Step 3: Cross multiply
    218,906.60x = 327,630.90 × 158,764.10
  4. Step 4: Simplify right side
    218,906.60x = 52,016,024,970.69
  5. Step 5: Solve for x
    x = 52,016,024,970.69/218,906.60
  6. Step 6: Final answer
    x = 237,617.44

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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.