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Finding the Fourth Proportional to 218,605.26, 327,986.19 and 76,489.56

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Solution

The fourth proportional to 218,605.26, 327,986.19 and 76,489.56 is: 114,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,605.26 : 327,986.19 = 76,489.56 : x
  2. Step 2: Convert to fraction form
    218,605.26/327,986.19 = 76,489.56/x
  3. Step 3: Cross multiply
    218,605.26x = 327,986.19 × 76,489.56
  4. Step 4: Simplify right side
    218,605.26x = 25,087,519,359.18
  5. Step 5: Solve for x
    x = 25,087,519,359.18/218,605.26
  6. Step 6: Final answer
    x = 114,761.74

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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.