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Finding the Fourth Proportional to 144,348.72, 199,197.72 and 80,694

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Solution

The fourth proportional to 144,348.72, 199,197.72 and 80,694 is: 111,355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,348.72 : 199,197.72 = 80,694 : x
  2. Step 2: Convert to fraction form
    144,348.72/199,197.72 = 80,694/x
  3. Step 3: Cross multiply
    144,348.72x = 199,197.72 × 80,694
  4. Step 4: Simplify right side
    144,348.72x = 16,074,060,817.68
  5. Step 5: Solve for x
    x = 16,074,060,817.68/144,348.72
  6. Step 6: Final answer
    x = 111,355.76

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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.