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Finding the Fourth Proportional to 81,377.94, 122,086.38 and 33,966.66

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Solution

The fourth proportional to 81,377.94, 122,086.38 and 33,966.66 is: 50,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,377.94 : 122,086.38 = 33,966.66 : x
  2. Step 2: Convert to fraction form
    81,377.94/122,086.38 = 33,966.66/x
  3. Step 3: Cross multiply
    81,377.94x = 122,086.38 × 33,966.66
  4. Step 4: Simplify right side
    81,377.94x = 4,146,866,560.09
  5. Step 5: Solve for x
    x = 4,146,866,560.09/81,377.94
  6. Step 6: Final answer
    x = 50,958.12

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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.