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Finding the Fourth Proportional to 192,378.44, 288,412 and 80,142.97

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Solution

The fourth proportional to 192,378.44, 288,412 and 80,142.97 is: 120,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,378.44 : 288,412 = 80,142.97 : x
  2. Step 2: Convert to fraction form
    192,378.44/288,412 = 80,142.97/x
  3. Step 3: Cross multiply
    192,378.44x = 288,412 × 80,142.97
  4. Step 4: Simplify right side
    192,378.44x = 23,114,194,263.64
  5. Step 5: Solve for x
    x = 23,114,194,263.64/192,378.44
  6. Step 6: Final answer
    x = 120,149.61

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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.