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Finding the Fourth Proportional to 260,711.67, 390,912.19 and 80,743.78

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Solution

The fourth proportional to 260,711.67, 390,912.19 and 80,743.78 is: 121,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,711.67 : 390,912.19 = 80,743.78 : x
  2. Step 2: Convert to fraction form
    260,711.67/390,912.19 = 80,743.78/x
  3. Step 3: Cross multiply
    260,711.67x = 390,912.19 × 80,743.78
  4. Step 4: Simplify right side
    260,711.67x = 31,563,727,868.68
  5. Step 5: Solve for x
    x = 31,563,727,868.68/260,711.67
  6. Step 6: Final answer
    x = 121,067.57

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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.