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Finding the Fourth Proportional to 83,969.28, 125,997.84 and 54,379.44

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Solution

The fourth proportional to 83,969.28, 125,997.84 and 54,379.44 is: 81,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,969.28 : 125,997.84 = 54,379.44 : x
  2. Step 2: Convert to fraction form
    83,969.28/125,997.84 = 54,379.44/x
  3. Step 3: Cross multiply
    83,969.28x = 125,997.84 × 54,379.44
  4. Step 4: Simplify right side
    83,969.28x = 6,851,691,980.41
  5. Step 5: Solve for x
    x = 6,851,691,980.41/83,969.28
  6. Step 6: Final answer
    x = 81,597.60

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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.