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Finding the Fourth Proportional to 65,252.80, 97,879.20 and 54,919.23

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Solution

The fourth proportional to 65,252.80, 97,879.20 and 54,919.23 is: 82,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252.80 : 97,879.20 = 54,919.23 : x
  2. Step 2: Convert to fraction form
    65,252.80/97,879.20 = 54,919.23/x
  3. Step 3: Cross multiply
    65,252.80x = 97,879.20 × 54,919.23
  4. Step 4: Simplify right side
    65,252.80x = 5,375,450,297.02
  5. Step 5: Solve for x
    x = 5,375,450,297.02/65,252.80
  6. Step 6: Final answer
    x = 82,378.85

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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.