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Finding the Fourth Proportional to 38,489.60, 57,734.40 and 33,240.80

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Solution

The fourth proportional to 38,489.60, 57,734.40 and 33,240.80 is: 49,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.60 : 57,734.40 = 33,240.80 : x
  2. Step 2: Convert to fraction form
    38,489.60/57,734.40 = 33,240.80/x
  3. Step 3: Cross multiply
    38,489.60x = 57,734.40 × 33,240.80
  4. Step 4: Simplify right side
    38,489.60x = 1,919,137,643.52
  5. Step 5: Solve for x
    x = 1,919,137,643.52/38,489.60
  6. Step 6: Final answer
    x = 49,861.20

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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.