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Finding the Fourth Proportional to 82,481.71, 123,734.67 and 29,878.87

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Solution

The fourth proportional to 82,481.71, 123,734.67 and 29,878.87 is: 44,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481.71 : 123,734.67 = 29,878.87 : x
  2. Step 2: Convert to fraction form
    82,481.71/123,734.67 = 29,878.87/x
  3. Step 3: Cross multiply
    82,481.71x = 123,734.67 × 29,878.87
  4. Step 4: Simplify right side
    82,481.71x = 3,697,052,119.42
  5. Step 5: Solve for x
    x = 3,697,052,119.42/82,481.71
  6. Step 6: Final answer
    x = 44,822.69

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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.