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Finding the Fourth Proportional to 205,754.82, 283,949.73 and 120,871.14

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Solution

The fourth proportional to 205,754.82, 283,949.73 and 120,871.14 is: 166,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,754.82 : 283,949.73 = 120,871.14 : x
  2. Step 2: Convert to fraction form
    205,754.82/283,949.73 = 120,871.14/x
  3. Step 3: Cross multiply
    205,754.82x = 283,949.73 × 120,871.14
  4. Step 4: Simplify right side
    205,754.82x = 34,321,327,567.79
  5. Step 5: Solve for x
    x = 34,321,327,567.79/205,754.82
  6. Step 6: Final answer
    x = 166,806.92

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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.