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Finding the Fourth Proportional to 80,022.76, 120,040.31 and 23,858.57

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Solution

The fourth proportional to 80,022.76, 120,040.31 and 23,858.57 is: 35,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,022.76 : 120,040.31 = 23,858.57 : x
  2. Step 2: Convert to fraction form
    80,022.76/120,040.31 = 23,858.57/x
  3. Step 3: Cross multiply
    80,022.76x = 120,040.31 × 23,858.57
  4. Step 4: Simplify right side
    80,022.76x = 2,863,990,498.70
  5. Step 5: Solve for x
    x = 2,863,990,498.70/80,022.76
  6. Step 6: Final answer
    x = 35,789.70

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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.