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Finding the Fourth Proportional to 144,114.60, 198,857.58 and 80,451

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Solution

The fourth proportional to 144,114.60, 198,857.58 and 80,451 is: 111,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,114.60 : 198,857.58 = 80,451 : x
  2. Step 2: Convert to fraction form
    144,114.60/198,857.58 = 80,451/x
  3. Step 3: Cross multiply
    144,114.60x = 198,857.58 × 80,451
  4. Step 4: Simplify right side
    144,114.60x = 15,998,291,168.58
  5. Step 5: Solve for x
    x = 15,998,291,168.58/144,114.60
  6. Step 6: Final answer
    x = 111,010.90

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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.