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Finding the Fourth Proportional to 71,884.56, 107,873.04 and 30,331.44

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Solution

The fourth proportional to 71,884.56, 107,873.04 and 30,331.44 is: 45,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,884.56 : 107,873.04 = 30,331.44 : x
  2. Step 2: Convert to fraction form
    71,884.56/107,873.04 = 30,331.44/x
  3. Step 3: Cross multiply
    71,884.56x = 107,873.04 × 30,331.44
  4. Step 4: Simplify right side
    71,884.56x = 3,271,944,640.38
  5. Step 5: Solve for x
    x = 3,271,944,640.38/71,884.56
  6. Step 6: Final answer
    x = 45,516.65

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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.