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Finding the Fourth Proportional to 81,704.16, 112,764.02 and 49,891.41

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Solution

The fourth proportional to 81,704.16, 112,764.02 and 49,891.41 is: 68,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,704.16 : 112,764.02 = 49,891.41 : x
  2. Step 2: Convert to fraction form
    81,704.16/112,764.02 = 49,891.41/x
  3. Step 3: Cross multiply
    81,704.16x = 112,764.02 × 49,891.41
  4. Step 4: Simplify right side
    81,704.16x = 5,625,955,705.61
  5. Step 5: Solve for x
    x = 5,625,955,705.61/81,704.16
  6. Step 6: Final answer
    x = 68,857.64

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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.