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Finding the Fourth Proportional to 218,156.86, 327,235.25 and 68,397.92

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Solution

The fourth proportional to 218,156.86, 327,235.25 and 68,397.92 is: 102,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,156.86 : 327,235.25 = 68,397.92 : x
  2. Step 2: Convert to fraction form
    218,156.86/327,235.25 = 68,397.92/x
  3. Step 3: Cross multiply
    218,156.86x = 327,235.25 × 68,397.92
  4. Step 4: Simplify right side
    218,156.86x = 22,382,210,450.68
  5. Step 5: Solve for x
    x = 22,382,210,450.68/218,156.86
  6. Step 6: Final answer
    x = 102,596.87

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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.