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Finding the Fourth Proportional to 82,169.90, 123,025.89 and 52,514.54

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Solution

The fourth proportional to 82,169.90, 123,025.89 and 52,514.54 is: 78,625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,169.90 : 123,025.89 = 52,514.54 : x
  2. Step 2: Convert to fraction form
    82,169.90/123,025.89 = 52,514.54/x
  3. Step 3: Cross multiply
    82,169.90x = 123,025.89 × 52,514.54
  4. Step 4: Simplify right side
    82,169.90x = 6,460,648,021.44
  5. Step 5: Solve for x
    x = 6,460,648,021.44/82,169.90
  6. Step 6: Final answer
    x = 78,625.48

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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.