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Finding the Fourth Proportional to 71,920.22, 107,805.48 and 40,283.90

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Solution

The fourth proportional to 71,920.22, 107,805.48 and 40,283.90 is: 60,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,920.22 : 107,805.48 = 40,283.90 : x
  2. Step 2: Convert to fraction form
    71,920.22/107,805.48 = 40,283.90/x
  3. Step 3: Cross multiply
    71,920.22x = 107,805.48 × 40,283.90
  4. Step 4: Simplify right side
    71,920.22x = 4,342,825,116.55
  5. Step 5: Solve for x
    x = 4,342,825,116.55/71,920.22
  6. Step 6: Final answer
    x = 60,383.92

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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.