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Finding the Fourth Proportional to 192,944.80, 288,802.80 and 137,648.80

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Solution

The fourth proportional to 192,944.80, 288,802.80 and 137,648.80 is: 206,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,944.80 : 288,802.80 = 137,648.80 : x
  2. Step 2: Convert to fraction form
    192,944.80/288,802.80 = 137,648.80/x
  3. Step 3: Cross multiply
    192,944.80x = 288,802.80 × 137,648.80
  4. Step 4: Simplify right side
    192,944.80x = 39,753,358,856.64
  5. Step 5: Solve for x
    x = 39,753,358,856.64/192,944.80
  6. Step 6: Final answer
    x = 206,034.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.