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Finding the Fourth Proportional to 86,517.86, 129,763.82 and 71,821.22

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Solution

The fourth proportional to 86,517.86, 129,763.82 and 71,821.22 is: 107,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,517.86 : 129,763.82 = 71,821.22 : x
  2. Step 2: Convert to fraction form
    86,517.86/129,763.82 = 71,821.22/x
  3. Step 3: Cross multiply
    86,517.86x = 129,763.82 × 71,821.22
  4. Step 4: Simplify right side
    86,517.86x = 9,319,795,394.99
  5. Step 5: Solve for x
    x = 9,319,795,394.99/86,517.86
  6. Step 6: Final answer
    x = 107,721.06

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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.