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Finding the Fourth Proportional to 144,093.88, 198,891.79 and 83,691.68

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Solution

The fourth proportional to 144,093.88, 198,891.79 and 83,691.68 is: 115,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,093.88 : 198,891.79 = 83,691.68 : x
  2. Step 2: Convert to fraction form
    144,093.88/198,891.79 = 83,691.68/x
  3. Step 3: Cross multiply
    144,093.88x = 198,891.79 × 83,691.68
  4. Step 4: Simplify right side
    144,093.88x = 16,645,586,630.39
  5. Step 5: Solve for x
    x = 16,645,586,630.39/144,093.88
  6. Step 6: Final answer
    x = 115,519.04

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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.