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Finding the Fourth Proportional to 83,481.72, 125,230.30 and 30,187

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Solution

The fourth proportional to 83,481.72, 125,230.30 and 30,187 is: 45,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,481.72 : 125,230.30 = 30,187 : x
  2. Step 2: Convert to fraction form
    83,481.72/125,230.30 = 30,187/x
  3. Step 3: Cross multiply
    83,481.72x = 125,230.30 × 30,187
  4. Step 4: Simplify right side
    83,481.72x = 3,780,327,066.10
  5. Step 5: Solve for x
    x = 3,780,327,066.10/83,481.72
  6. Step 6: Final answer
    x = 45,283.29

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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.