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Finding the Fourth Proportional to 71,908.92, 107,778.66 and 32,419.80

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Solution

The fourth proportional to 71,908.92, 107,778.66 and 32,419.80 is: 48,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,908.92 : 107,778.66 = 32,419.80 : x
  2. Step 2: Convert to fraction form
    71,908.92/107,778.66 = 32,419.80/x
  3. Step 3: Cross multiply
    71,908.92x = 107,778.66 × 32,419.80
  4. Step 4: Simplify right side
    71,908.92x = 3,494,162,601.47
  5. Step 5: Solve for x
    x = 3,494,162,601.47/71,908.92
  6. Step 6: Final answer
    x = 48,591.50

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1.5x scale

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.