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Finding the Fourth Proportional to 71,540.78, 107,327.37 and 38,243.30

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Solution

The fourth proportional to 71,540.78, 107,327.37 and 38,243.30 is: 57,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,540.78 : 107,327.37 = 38,243.30 : x
  2. Step 2: Convert to fraction form
    71,540.78/107,327.37 = 38,243.30/x
  3. Step 3: Cross multiply
    71,540.78x = 107,327.37 × 38,243.30
  4. Step 4: Simplify right side
    71,540.78x = 4,104,552,809.12
  5. Step 5: Solve for x
    x = 4,104,552,809.12/71,540.78
  6. Step 6: Final answer
    x = 57,373.61

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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.