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Finding the Fourth Proportional to 81,144.50, 111,957.17 and 55,657.17

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Solution

The fourth proportional to 81,144.50, 111,957.17 and 55,657.17 is: 76,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,144.50 : 111,957.17 = 55,657.17 : x
  2. Step 2: Convert to fraction form
    81,144.50/111,957.17 = 55,657.17/x
  3. Step 3: Cross multiply
    81,144.50x = 111,957.17 × 55,657.17
  4. Step 4: Simplify right side
    81,144.50x = 6,231,218,965.12
  5. Step 5: Solve for x
    x = 6,231,218,965.12/81,144.50
  6. Step 6: Final answer
    x = 76,791.64

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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.