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Finding the Fourth Proportional to 218,174.88, 327,295.14 and 68,381.85

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Solution

The fourth proportional to 218,174.88, 327,295.14 and 68,381.85 is: 102,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,174.88 : 327,295.14 = 68,381.85 : x
  2. Step 2: Convert to fraction form
    218,174.88/327,295.14 = 68,381.85/x
  3. Step 3: Cross multiply
    218,174.88x = 327,295.14 × 68,381.85
  4. Step 4: Simplify right side
    218,174.88x = 22,381,047,169.21
  5. Step 5: Solve for x
    x = 22,381,047,169.21/218,174.88
  6. Step 6: Final answer
    x = 102,583.06

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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.