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Finding the Fourth Proportional to 144,342, 199,195.56 and 80,690.40

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Solution

The fourth proportional to 144,342, 199,195.56 and 80,690.40 is: 111,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,342 : 199,195.56 = 80,690.40 : x
  2. Step 2: Convert to fraction form
    144,342/199,195.56 = 80,690.40/x
  3. Step 3: Cross multiply
    144,342x = 199,195.56 × 80,690.40
  4. Step 4: Simplify right side
    144,342x = 16,073,169,414.62
  5. Step 5: Solve for x
    x = 16,073,169,414.62/144,342
  6. Step 6: Final answer
    x = 111,354.76

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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.