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Finding the Fourth Proportional to 81,883.71, 122,818.50 and 49,854.48

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Solution

The fourth proportional to 81,883.71, 122,818.50 and 49,854.48 is: 74,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,883.71 : 122,818.50 = 49,854.48 : x
  2. Step 2: Convert to fraction form
    81,883.71/122,818.50 = 49,854.48/x
  3. Step 3: Cross multiply
    81,883.71x = 122,818.50 × 49,854.48
  4. Step 4: Simplify right side
    81,883.71x = 6,123,052,451.88
  5. Step 5: Solve for x
    x = 6,123,052,451.88/81,883.71
  6. Step 6: Final answer
    x = 74,777.42

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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.