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Finding the Fourth Proportional to 54,375.20, 81,409.20 and 52,839.20

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Solution

The fourth proportional to 54,375.20, 81,409.20 and 52,839.20 is: 79,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,375.20 : 81,409.20 = 52,839.20 : x
  2. Step 2: Convert to fraction form
    54,375.20/81,409.20 = 52,839.20/x
  3. Step 3: Cross multiply
    54,375.20x = 81,409.20 × 52,839.20
  4. Step 4: Simplify right side
    54,375.20x = 4,301,597,000.64
  5. Step 5: Solve for x
    x = 4,301,597,000.64/54,375.20
  6. Step 6: Final answer
    x = 79,109.54

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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.