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Finding the Fourth Proportional to 81,591.68, 122,321.90 and 34,811.76

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Solution

The fourth proportional to 81,591.68, 122,321.90 and 34,811.76 is: 52,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,591.68 : 122,321.90 = 34,811.76 : x
  2. Step 2: Convert to fraction form
    81,591.68/122,321.90 = 34,811.76/x
  3. Step 3: Cross multiply
    81,591.68x = 122,321.90 × 34,811.76
  4. Step 4: Simplify right side
    81,591.68x = 4,258,240,625.54
  5. Step 5: Solve for x
    x = 4,258,240,625.54/81,591.68
  6. Step 6: Final answer
    x = 52,189.64

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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.