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Finding the Fourth Proportional to 281,760, 422,664.60 and 71,397.95

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Solution

The fourth proportional to 281,760, 422,664.60 and 71,397.95 is: 107,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,760 : 422,664.60 = 71,397.95 : x
  2. Step 2: Convert to fraction form
    281,760/422,664.60 = 71,397.95/x
  3. Step 3: Cross multiply
    281,760x = 422,664.60 × 71,397.95
  4. Step 4: Simplify right side
    281,760x = 30,177,383,864.25
  5. Step 5: Solve for x
    x = 30,177,383,864.25/281,760
  6. Step 6: Final answer
    x = 107,103.15

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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.