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Finding the Fourth Proportional to 206,776.44, 285,459.88 and 139,149

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Solution

The fourth proportional to 206,776.44, 285,459.88 and 139,149 is: 192,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,776.44 : 285,459.88 = 139,149 : x
  2. Step 2: Convert to fraction form
    206,776.44/285,459.88 = 139,149/x
  3. Step 3: Cross multiply
    206,776.44x = 285,459.88 × 139,149
  4. Step 4: Simplify right side
    206,776.44x = 39,721,456,842.12
  5. Step 5: Solve for x
    x = 39,721,456,842.12/206,776.44
  6. Step 6: Final answer
    x = 192,098.56

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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.