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Finding the Fourth Proportional to 192,862.98, 289,340.33 and 80,480.75

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Solution

The fourth proportional to 192,862.98, 289,340.33 and 80,480.75 is: 120,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,862.98 : 289,340.33 = 80,480.75 : x
  2. Step 2: Convert to fraction form
    192,862.98/289,340.33 = 80,480.75/x
  3. Step 3: Cross multiply
    192,862.98x = 289,340.33 × 80,480.75
  4. Step 4: Simplify right side
    192,862.98x = 23,286,324,914.54
  5. Step 5: Solve for x
    x = 23,286,324,914.54/192,862.98
  6. Step 6: Final answer
    x = 120,740.25

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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.