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Finding the Fourth Proportional to 70,512, 105,757.61 and 23,132.09

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Solution

The fourth proportional to 70,512, 105,757.61 and 23,132.09 is: 34,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,512 : 105,757.61 = 23,132.09 : x
  2. Step 2: Convert to fraction form
    70,512/105,757.61 = 23,132.09/x
  3. Step 3: Cross multiply
    70,512x = 105,757.61 × 23,132.09
  4. Step 4: Simplify right side
    70,512x = 2,446,394,552.70
  5. Step 5: Solve for x
    x = 2,446,394,552.70/70,512
  6. Step 6: Final answer
    x = 34,694.73

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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.