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Finding the Fourth Proportional to 54,540.54, 81,811.82 and 17,099.78

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Solution

The fourth proportional to 54,540.54, 81,811.82 and 17,099.78 is: 25,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,540.54 : 81,811.82 = 17,099.78 : x
  2. Step 2: Convert to fraction form
    54,540.54/81,811.82 = 17,099.78/x
  3. Step 3: Cross multiply
    54,540.54x = 81,811.82 × 17,099.78
  4. Step 4: Simplify right side
    54,540.54x = 1,398,963,757.09
  5. Step 5: Solve for x
    x = 1,398,963,757.09/54,540.54
  6. Step 6: Final answer
    x = 25,649.98

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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.