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Finding the Fourth Proportional to 71,968.80, 107,920.80 and 27,580.80

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Solution

The fourth proportional to 71,968.80, 107,920.80 and 27,580.80 is: 41,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,968.80 : 107,920.80 = 27,580.80 : x
  2. Step 2: Convert to fraction form
    71,968.80/107,920.80 = 27,580.80/x
  3. Step 3: Cross multiply
    71,968.80x = 107,920.80 × 27,580.80
  4. Step 4: Simplify right side
    71,968.80x = 2,976,542,000.64
  5. Step 5: Solve for x
    x = 2,976,542,000.64/71,968.80
  6. Step 6: Final answer
    x = 41,358.78

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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.