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Finding the Fourth Proportional to 200,642.73, 300,995.24 and 67,512.61

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Solution

The fourth proportional to 200,642.73, 300,995.24 and 67,512.61 is: 101,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,642.73 : 300,995.24 = 67,512.61 : x
  2. Step 2: Convert to fraction form
    200,642.73/300,995.24 = 67,512.61/x
  3. Step 3: Cross multiply
    200,642.73x = 300,995.24 × 67,512.61
  4. Step 4: Simplify right side
    200,642.73x = 20,320,975,514.96
  5. Step 5: Solve for x
    x = 20,320,975,514.96/200,642.73
  6. Step 6: Final answer
    x = 101,279.40

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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.