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Finding the Fourth Proportional to 206,268.39, 309,481.11 and 106,364.79

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Solution

The fourth proportional to 206,268.39, 309,481.11 and 106,364.79 is: 159,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,268.39 : 309,481.11 = 106,364.79 : x
  2. Step 2: Convert to fraction form
    206,268.39/309,481.11 = 106,364.79/x
  3. Step 3: Cross multiply
    206,268.39x = 309,481.11 × 106,364.79
  4. Step 4: Simplify right side
    206,268.39x = 32,917,893,274.12
  5. Step 5: Solve for x
    x = 32,917,893,274.12/206,268.39
  6. Step 6: Final answer
    x = 159,587.68

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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.