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Finding the Fourth Proportional to 218,620.56, 327,942.68 and 68,872.64

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Solution

The fourth proportional to 218,620.56, 327,942.68 and 68,872.64 is: 103,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,620.56 : 327,942.68 = 68,872.64 : x
  2. Step 2: Convert to fraction form
    218,620.56/327,942.68 = 68,872.64/x
  3. Step 3: Cross multiply
    218,620.56x = 327,942.68 × 68,872.64
  4. Step 4: Simplify right side
    218,620.56x = 22,586,278,140.28
  5. Step 5: Solve for x
    x = 22,586,278,140.28/218,620.56
  6. Step 6: Final answer
    x = 103,312.69

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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.