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Finding the Fourth Proportional to 81,882.71, 122,817 and 49,853.48

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Solution

The fourth proportional to 81,882.71, 122,817 and 49,853.48 is: 74,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,882.71 : 122,817 = 49,853.48 : x
  2. Step 2: Convert to fraction form
    81,882.71/122,817 = 49,853.48/x
  3. Step 3: Cross multiply
    81,882.71x = 122,817 × 49,853.48
  4. Step 4: Simplify right side
    81,882.71x = 6,122,854,239.08
  5. Step 5: Solve for x
    x = 6,122,854,239.08/81,882.71
  6. Step 6: Final answer
    x = 74,775.92

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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.