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Finding the Fourth Proportional to 200,102.33, 300,042.72 and 81,856.73

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Solution

The fourth proportional to 200,102.33, 300,042.72 and 81,856.73 is: 122,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,102.33 : 300,042.72 = 81,856.73 : x
  2. Step 2: Convert to fraction form
    200,102.33/300,042.72 = 81,856.73/x
  3. Step 3: Cross multiply
    200,102.33x = 300,042.72 × 81,856.73
  4. Step 4: Simplify right side
    200,102.33x = 24,560,514,419.29
  5. Step 5: Solve for x
    x = 24,560,514,419.29/200,102.33
  6. Step 6: Final answer
    x = 122,739.78

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1.5x scale

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.