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Finding the Fourth Proportional to 192,470.34, 288,754.76 and 80,113.20

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Solution

The fourth proportional to 192,470.34, 288,754.76 and 80,113.20 is: 120,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,470.34 : 288,754.76 = 80,113.20 : x
  2. Step 2: Convert to fraction form
    192,470.34/288,754.76 = 80,113.20/x
  3. Step 3: Cross multiply
    192,470.34x = 288,754.76 × 80,113.20
  4. Step 4: Simplify right side
    192,470.34x = 23,133,067,438.27
  5. Step 5: Solve for x
    x = 23,133,067,438.27/192,470.34
  6. Step 6: Final answer
    x = 120,190.30

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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.