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Finding the Fourth Proportional to 65,728.20, 98,657.10 and 32,485.80

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Solution

The fourth proportional to 65,728.20, 98,657.10 and 32,485.80 is: 48,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728.20 : 98,657.10 = 32,485.80 : x
  2. Step 2: Convert to fraction form
    65,728.20/98,657.10 = 32,485.80/x
  3. Step 3: Cross multiply
    65,728.20x = 98,657.10 × 32,485.80
  4. Step 4: Simplify right side
    65,728.20x = 3,204,954,819.18
  5. Step 5: Solve for x
    x = 3,204,954,819.18/65,728.20
  6. Step 6: Final answer
    x = 48,760.73

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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.