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Finding the Fourth Proportional to 81,267.68, 121,871.21 and 27,944.58

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Solution

The fourth proportional to 81,267.68, 121,871.21 and 27,944.58 is: 41,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,267.68 : 121,871.21 = 27,944.58 : x
  2. Step 2: Convert to fraction form
    81,267.68/121,871.21 = 27,944.58/x
  3. Step 3: Cross multiply
    81,267.68x = 121,871.21 × 27,944.58
  4. Step 4: Simplify right side
    81,267.68x = 3,405,639,285.59
  5. Step 5: Solve for x
    x = 3,405,639,285.59/81,267.68
  6. Step 6: Final answer
    x = 41,906.44

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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.