Home / 205,755.82-283,951.11-120,872.14

Finding the Fourth Proportional to 205,755.82, 283,951.11 and 120,872.14

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Solution

The fourth proportional to 205,755.82, 283,951.11 and 120,872.14 is: 166,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,755.82 : 283,951.11 = 120,872.14 : x
  2. Step 2: Convert to fraction form
    205,755.82/283,951.11 = 120,872.14/x
  3. Step 3: Cross multiply
    205,755.82x = 283,951.11 × 120,872.14
  4. Step 4: Simplify right side
    205,755.82x = 34,321,778,321.08
  5. Step 5: Solve for x
    x = 34,321,778,321.08/205,755.82
  6. Step 6: Final answer
    x = 166,808.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.