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Finding the Fourth Proportional to 206,494.27, 285,062.21 and 138,486.37

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Solution

The fourth proportional to 206,494.27, 285,062.21 and 138,486.37 is: 191,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,494.27 : 285,062.21 = 138,486.37 : x
  2. Step 2: Convert to fraction form
    206,494.27/285,062.21 = 138,486.37/x
  3. Step 3: Cross multiply
    206,494.27x = 285,062.21 × 138,486.37
  4. Step 4: Simplify right side
    206,494.27x = 39,477,230,687.08
  5. Step 5: Solve for x
    x = 39,477,230,687.08/206,494.27
  6. Step 6: Final answer
    x = 191,178.33

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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.