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Finding the Fourth Proportional to 71,478.75, 107,082.78 and 47,714.64

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Solution

The fourth proportional to 71,478.75, 107,082.78 and 47,714.64 is: 71,481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478.75 : 107,082.78 = 47,714.64 : x
  2. Step 2: Convert to fraction form
    71,478.75/107,082.78 = 47,714.64/x
  3. Step 3: Cross multiply
    71,478.75x = 107,082.78 × 47,714.64
  4. Step 4: Simplify right side
    71,478.75x = 5,109,416,297.90
  5. Step 5: Solve for x
    x = 5,109,416,297.90/71,478.75
  6. Step 6: Final answer
    x = 71,481.61

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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.