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Finding the Fourth Proportional to 144,112.60, 198,854.82 and 80,449

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Solution

The fourth proportional to 144,112.60, 198,854.82 and 80,449 is: 111,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,112.60 : 198,854.82 = 80,449 : x
  2. Step 2: Convert to fraction form
    144,112.60/198,854.82 = 80,449/x
  3. Step 3: Cross multiply
    144,112.60x = 198,854.82 × 80,449
  4. Step 4: Simplify right side
    144,112.60x = 15,997,671,414.18
  5. Step 5: Solve for x
    x = 15,997,671,414.18/144,112.60
  6. Step 6: Final answer
    x = 111,008.14

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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.