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Finding the Fourth Proportional to 83,397.72, 125,120 and 33,512.84

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Solution

The fourth proportional to 83,397.72, 125,120 and 33,512.84 is: 50,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,397.72 : 125,120 = 33,512.84 : x
  2. Step 2: Convert to fraction form
    83,397.72/125,120 = 33,512.84/x
  3. Step 3: Cross multiply
    83,397.72x = 125,120 × 33,512.84
  4. Step 4: Simplify right side
    83,397.72x = 4,193,126,540.80
  5. Step 5: Solve for x
    x = 4,193,126,540.80/83,397.72
  6. Step 6: Final answer
    x = 50,278.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.