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Finding the Fourth Proportional to 71,987.67, 107,980.49 and 32,517.18

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Solution

The fourth proportional to 71,987.67, 107,980.49 and 32,517.18 is: 48,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,987.67 : 107,980.49 = 32,517.18 : x
  2. Step 2: Convert to fraction form
    71,987.67/107,980.49 = 32,517.18/x
  3. Step 3: Cross multiply
    71,987.67x = 107,980.49 × 32,517.18
  4. Step 4: Simplify right side
    71,987.67x = 3,511,221,111.11
  5. Step 5: Solve for x
    x = 3,511,221,111.11/71,987.67
  6. Step 6: Final answer
    x = 48,775.31

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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.