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Finding the Fourth Proportional to 192,865.97, 289,345.12 and 80,483.66

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Solution

The fourth proportional to 192,865.97, 289,345.12 and 80,483.66 is: 120,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,865.97 : 289,345.12 = 80,483.66 : x
  2. Step 2: Convert to fraction form
    192,865.97/289,345.12 = 80,483.66/x
  3. Step 3: Cross multiply
    192,865.97x = 289,345.12 × 80,483.66
  4. Step 4: Simplify right side
    192,865.97x = 23,287,554,150.57
  5. Step 5: Solve for x
    x = 23,287,554,150.57/192,865.97
  6. Step 6: Final answer
    x = 120,744.76

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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.