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Finding the Fourth Proportional to 218,954.01, 328,191.09 and 85,687.80

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Solution

The fourth proportional to 218,954.01, 328,191.09 and 85,687.80 is: 128,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,954.01 : 328,191.09 = 85,687.80 : x
  2. Step 2: Convert to fraction form
    218,954.01/328,191.09 = 85,687.80/x
  3. Step 3: Cross multiply
    218,954.01x = 328,191.09 × 85,687.80
  4. Step 4: Simplify right side
    218,954.01x = 28,121,972,481.70
  5. Step 5: Solve for x
    x = 28,121,972,481.70/218,954.01
  6. Step 6: Final answer
    x = 128,437.81

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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.