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Finding the Fourth Proportional to 200,104.33, 300,045.72 and 81,858.73

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Solution

The fourth proportional to 200,104.33, 300,045.72 and 81,858.73 is: 122,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,104.33 : 300,045.72 = 81,858.73 : x
  2. Step 2: Convert to fraction form
    200,104.33/300,045.72 = 81,858.73/x
  3. Step 3: Cross multiply
    200,104.33x = 300,045.72 × 81,858.73
  4. Step 4: Simplify right side
    200,104.33x = 24,561,361,581.14
  5. Step 5: Solve for x
    x = 24,561,361,581.14/200,104.33
  6. Step 6: Final answer
    x = 122,742.78

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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.