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Finding the Fourth Proportional to 218,125.38, 327,188.16 and 68,377.44

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Solution

The fourth proportional to 218,125.38, 327,188.16 and 68,377.44 is: 102,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,125.38 : 327,188.16 = 68,377.44 : x
  2. Step 2: Convert to fraction form
    218,125.38/327,188.16 = 68,377.44/x
  3. Step 3: Cross multiply
    218,125.38x = 327,188.16 × 68,377.44
  4. Step 4: Simplify right side
    218,125.38x = 22,372,288,779.11
  5. Step 5: Solve for x
    x = 22,372,288,779.11/218,125.38
  6. Step 6: Final answer
    x = 102,566.19

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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.