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Finding the Fourth Proportional to 194,481.64, 291,753.61 and 82,162.90

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Solution

The fourth proportional to 194,481.64, 291,753.61 and 82,162.90 is: 123,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,481.64 : 291,753.61 = 82,162.90 : x
  2. Step 2: Convert to fraction form
    194,481.64/291,753.61 = 82,162.90/x
  3. Step 3: Cross multiply
    194,481.64x = 291,753.61 × 82,162.90
  4. Step 4: Simplify right side
    194,481.64x = 23,971,321,748.28
  5. Step 5: Solve for x
    x = 23,971,321,748.28/194,481.64
  6. Step 6: Final answer
    x = 123,257.51

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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.