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Finding the Fourth Proportional to 70,098.21, 96,734.25 and 39,882.87

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Solution

The fourth proportional to 70,098.21, 96,734.25 and 39,882.87 is: 55,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098.21 : 96,734.25 = 39,882.87 : x
  2. Step 2: Convert to fraction form
    70,098.21/96,734.25 = 39,882.87/x
  3. Step 3: Cross multiply
    70,098.21x = 96,734.25 × 39,882.87
  4. Step 4: Simplify right side
    70,098.21x = 3,858,039,517.30
  5. Step 5: Solve for x
    x = 3,858,039,517.30/70,098.21
  6. Step 6: Final answer
    x = 55,037.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.