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Finding the Fourth Proportional to 281,520.75, 422,281.13 and 71,158.69

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Solution

The fourth proportional to 281,520.75, 422,281.13 and 71,158.69 is: 106,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,520.75 : 422,281.13 = 71,158.69 : x
  2. Step 2: Convert to fraction form
    281,520.75/422,281.13 = 71,158.69/x
  3. Step 3: Cross multiply
    281,520.75x = 422,281.13 × 71,158.69
  4. Step 4: Simplify right side
    281,520.75x = 30,048,972,022.52
  5. Step 5: Solve for x
    x = 30,048,972,022.52/281,520.75
  6. Step 6: Final answer
    x = 106,738.04

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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.