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Finding the Fourth Proportional to 206,993.43, 285,609.02 and 120,935.77

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Solution

The fourth proportional to 206,993.43, 285,609.02 and 120,935.77 is: 166,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,993.43 : 285,609.02 = 120,935.77 : x
  2. Step 2: Convert to fraction form
    206,993.43/285,609.02 = 120,935.77/x
  3. Step 3: Cross multiply
    206,993.43x = 285,609.02 × 120,935.77
  4. Step 4: Simplify right side
    206,993.43x = 34,540,347,585.06
  5. Step 5: Solve for x
    x = 34,540,347,585.06/206,993.43
  6. Step 6: Final answer
    x = 166,866.88

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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.