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Finding the Fourth Proportional to 71,668.20, 107,531.90 and 36,110.31

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Solution

The fourth proportional to 71,668.20, 107,531.90 and 36,110.31 is: 54,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,668.20 : 107,531.90 = 36,110.31 : x
  2. Step 2: Convert to fraction form
    71,668.20/107,531.90 = 36,110.31/x
  3. Step 3: Cross multiply
    71,668.20x = 107,531.90 × 36,110.31
  4. Step 4: Simplify right side
    71,668.20x = 3,883,010,243.89
  5. Step 5: Solve for x
    x = 3,883,010,243.89/71,668.20
  6. Step 6: Final answer
    x = 54,180.38

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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.