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Finding the Fourth Proportional to 206,942.48, 285,354.60 and 139,757.84

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Solution

The fourth proportional to 206,942.48, 285,354.60 and 139,757.84 is: 192,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,942.48 : 285,354.60 = 139,757.84 : x
  2. Step 2: Convert to fraction form
    206,942.48/285,354.60 = 139,757.84/x
  3. Step 3: Cross multiply
    206,942.48x = 285,354.60 × 139,757.84
  4. Step 4: Simplify right side
    206,942.48x = 39,880,542,530.06
  5. Step 5: Solve for x
    x = 39,880,542,530.06/206,942.48
  6. Step 6: Final answer
    x = 192,713.18

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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.