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Finding the Fourth Proportional to 81,785.77, 122,481.79 and 55,410.55

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Solution

The fourth proportional to 81,785.77, 122,481.79 and 55,410.55 is: 82,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,785.77 : 122,481.79 = 55,410.55 : x
  2. Step 2: Convert to fraction form
    81,785.77/122,481.79 = 55,410.55/x
  3. Step 3: Cross multiply
    81,785.77x = 122,481.79 × 55,410.55
  4. Step 4: Simplify right side
    81,785.77x = 6,786,782,904.15
  5. Step 5: Solve for x
    x = 6,786,782,904.15/81,785.77
  6. Step 6: Final answer
    x = 82,982.44

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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.