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Finding the Fourth Proportional to 144,093.38, 198,891.10 and 83,691.17

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Solution

The fourth proportional to 144,093.38, 198,891.10 and 83,691.17 is: 115,518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,093.38 : 198,891.10 = 83,691.17 : x
  2. Step 2: Convert to fraction form
    144,093.38/198,891.10 = 83,691.17/x
  3. Step 3: Cross multiply
    144,093.38x = 198,891.10 × 83,691.17
  4. Step 4: Simplify right side
    144,093.38x = 16,645,429,365.59
  5. Step 5: Solve for x
    x = 16,645,429,365.59/144,093.38
  6. Step 6: Final answer
    x = 115,518.35

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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.