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Finding the Fourth Proportional to 71,976.80, 107,932.80 and 27,588.80

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Solution

The fourth proportional to 71,976.80, 107,932.80 and 27,588.80 is: 41,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,976.80 : 107,932.80 = 27,588.80 : x
  2. Step 2: Convert to fraction form
    71,976.80/107,932.80 = 27,588.80/x
  3. Step 3: Cross multiply
    71,976.80x = 107,932.80 × 27,588.80
  4. Step 4: Simplify right side
    71,976.80x = 2,977,736,432.64
  5. Step 5: Solve for x
    x = 2,977,736,432.64/71,976.80
  6. Step 6: Final answer
    x = 41,370.78

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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.