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Finding the Fourth Proportional to 83,540.72, 125,316.12 and 33,620.60

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Solution

The fourth proportional to 83,540.72, 125,316.12 and 33,620.60 is: 50,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,540.72 : 125,316.12 = 33,620.60 : x
  2. Step 2: Convert to fraction form
    83,540.72/125,316.12 = 33,620.60/x
  3. Step 3: Cross multiply
    83,540.72x = 125,316.12 × 33,620.60
  4. Step 4: Simplify right side
    83,540.72x = 4,213,203,144.07
  5. Step 5: Solve for x
    x = 4,213,203,144.07/83,540.72
  6. Step 6: Final answer
    x = 50,432.93

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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.