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Finding the Fourth Proportional to 206,502.96, 285,074.19 and 138,495.09

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Solution

The fourth proportional to 206,502.96, 285,074.19 and 138,495.09 is: 191,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,502.96 : 285,074.19 = 138,495.09 : x
  2. Step 2: Convert to fraction form
    206,502.96/285,074.19 = 138,495.09/x
  3. Step 3: Cross multiply
    206,502.96x = 285,074.19 × 138,495.09
  4. Step 4: Simplify right side
    206,502.96x = 39,481,375,600.73
  5. Step 5: Solve for x
    x = 39,481,375,600.73/206,502.96
  6. Step 6: Final answer
    x = 191,190.36

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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.