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Finding the Fourth Proportional to 71,568.80, 107,320.80 and 27,180.80

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Solution

The fourth proportional to 71,568.80, 107,320.80 and 27,180.80 is: 40,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,568.80 : 107,320.80 = 27,180.80 : x
  2. Step 2: Convert to fraction form
    71,568.80/107,320.80 = 27,180.80/x
  3. Step 3: Cross multiply
    71,568.80x = 107,320.80 × 27,180.80
  4. Step 4: Simplify right side
    71,568.80x = 2,917,065,200.64
  5. Step 5: Solve for x
    x = 2,917,065,200.64/71,568.80
  6. Step 6: Final answer
    x = 40,758.89

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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.