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Finding the Fourth Proportional to 269,182.72, 403,831.68 and 82,208

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Solution

The fourth proportional to 269,182.72, 403,831.68 and 82,208 is: 123,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,182.72 : 403,831.68 = 82,208 : x
  2. Step 2: Convert to fraction form
    269,182.72/403,831.68 = 82,208/x
  3. Step 3: Cross multiply
    269,182.72x = 403,831.68 × 82,208
  4. Step 4: Simplify right side
    269,182.72x = 33,198,194,749.44
  5. Step 5: Solve for x
    x = 33,198,194,749.44/269,182.72
  6. Step 6: Final answer
    x = 123,329.59

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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.