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Finding the Fourth Proportional to 54,751.30, 82,126.80 and 13,198.30

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Solution

The fourth proportional to 54,751.30, 82,126.80 and 13,198.30 is: 19,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,751.30 : 82,126.80 = 13,198.30 : x
  2. Step 2: Convert to fraction form
    54,751.30/82,126.80 = 13,198.30/x
  3. Step 3: Cross multiply
    54,751.30x = 82,126.80 × 13,198.30
  4. Step 4: Simplify right side
    54,751.30x = 1,083,934,144.44
  5. Step 5: Solve for x
    x = 1,083,934,144.44/54,751.30
  6. Step 6: Final answer
    x = 19,797.41

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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.