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Finding the Fourth Proportional to 65,751.20, 98,626.80 and 54,231.20

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Solution

The fourth proportional to 65,751.20, 98,626.80 and 54,231.20 is: 81,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751.20 : 98,626.80 = 54,231.20 : x
  2. Step 2: Convert to fraction form
    65,751.20/98,626.80 = 54,231.20/x
  3. Step 3: Cross multiply
    65,751.20x = 98,626.80 × 54,231.20
  4. Step 4: Simplify right side
    65,751.20x = 5,348,649,716.16
  5. Step 5: Solve for x
    x = 5,348,649,716.16/65,751.20
  6. Step 6: Final answer
    x = 81,346.80

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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.