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Finding the Fourth Proportional to 218,084.40, 327,223.80 and 99,694.80

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Solution

The fourth proportional to 218,084.40, 327,223.80 and 99,694.80 is: 149,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,084.40 : 327,223.80 = 99,694.80 : x
  2. Step 2: Convert to fraction form
    218,084.40/327,223.80 = 99,694.80/x
  3. Step 3: Cross multiply
    218,084.40x = 327,223.80 × 99,694.80
  4. Step 4: Simplify right side
    218,084.40x = 32,622,511,296.24
  5. Step 5: Solve for x
    x = 32,622,511,296.24/218,084.40
  6. Step 6: Final answer
    x = 149,586.63

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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.