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Finding the Fourth Proportional to 218,391.34, 327,665.83 and 76,257.56

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Solution

The fourth proportional to 218,391.34, 327,665.83 and 76,257.56 is: 114,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,391.34 : 327,665.83 = 76,257.56 : x
  2. Step 2: Convert to fraction form
    218,391.34/327,665.83 = 76,257.56/x
  3. Step 3: Cross multiply
    218,391.34x = 327,665.83 × 76,257.56
  4. Step 4: Simplify right side
    218,391.34x = 24,986,995,052.85
  5. Step 5: Solve for x
    x = 24,986,995,052.85/218,391.34
  6. Step 6: Final answer
    x = 114,413.86

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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.