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Finding the Fourth Proportional to 71,993.78, 107,906.57 and 54,167.16

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Solution

The fourth proportional to 71,993.78, 107,906.57 and 54,167.16 is: 81,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,993.78 : 107,906.57 = 54,167.16 : x
  2. Step 2: Convert to fraction form
    71,993.78/107,906.57 = 54,167.16/x
  3. Step 3: Cross multiply
    71,993.78x = 107,906.57 × 54,167.16
  4. Step 4: Simplify right side
    71,993.78x = 5,844,992,171.41
  5. Step 5: Solve for x
    x = 5,844,992,171.41/71,993.78
  6. Step 6: Final answer
    x = 81,187.47

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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.