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Finding the Fourth Proportional to 83,763.73, 115,500.11 and 78,449.32

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Solution

The fourth proportional to 83,763.73, 115,500.11 and 78,449.32 is: 108,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,763.73 : 115,500.11 = 78,449.32 : x
  2. Step 2: Convert to fraction form
    83,763.73/115,500.11 = 78,449.32/x
  3. Step 3: Cross multiply
    83,763.73x = 115,500.11 × 78,449.32
  4. Step 4: Simplify right side
    83,763.73x = 9,060,904,511.92
  5. Step 5: Solve for x
    x = 9,060,904,511.92/83,763.73
  6. Step 6: Final answer
    x = 108,172.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.