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Finding the Fourth Proportional to 144,170.87, 198,912.33 and 83,729.87

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Solution

The fourth proportional to 144,170.87, 198,912.33 and 83,729.87 is: 115,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,170.87 : 198,912.33 = 83,729.87 : x
  2. Step 2: Convert to fraction form
    144,170.87/198,912.33 = 83,729.87/x
  3. Step 3: Cross multiply
    144,170.87x = 198,912.33 × 83,729.87
  4. Step 4: Simplify right side
    144,170.87x = 16,654,902,537.74
  5. Step 5: Solve for x
    x = 16,654,902,537.74/144,170.87
  6. Step 6: Final answer
    x = 115,521.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.