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Finding the Fourth Proportional to 81,884.71, 122,820 and 49,855.48

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Solution

The fourth proportional to 81,884.71, 122,820 and 49,855.48 is: 74,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,884.71 : 122,820 = 49,855.48 : x
  2. Step 2: Convert to fraction form
    81,884.71/122,820 = 49,855.48/x
  3. Step 3: Cross multiply
    81,884.71x = 122,820 × 49,855.48
  4. Step 4: Simplify right side
    81,884.71x = 6,123,250,053.60
  5. Step 5: Solve for x
    x = 6,123,250,053.60/81,884.71
  6. Step 6: Final answer
    x = 74,778.92

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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.