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Finding the Fourth Proportional to 217,922.32, 327,375.58 and 129,234.00

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Solution

The fourth proportional to 217,922.32, 327,375.58 and 129,234.00 is: 194,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,922.32 : 327,375.58 = 129,234.00 : x
  2. Step 2: Convert to fraction form
    217,922.32/327,375.58 = 129,234.00/x
  3. Step 3: Cross multiply
    217,922.32x = 327,375.58 × 129,234.00
  4. Step 4: Simplify right side
    217,922.32x = 42,308,056,852.61
  5. Step 5: Solve for x
    x = 42,308,056,852.61/217,922.32
  6. Step 6: Final answer
    x = 194,142.83

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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.