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Finding the Fourth Proportional to 206,654.26, 309,692.72 and 111,679.69

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Solution

The fourth proportional to 206,654.26, 309,692.72 and 111,679.69 is: 167,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,654.26 : 309,692.72 = 111,679.69 : x
  2. Step 2: Convert to fraction form
    206,654.26/309,692.72 = 111,679.69/x
  3. Step 3: Cross multiply
    206,654.26x = 309,692.72 × 111,679.69
  4. Step 4: Simplify right side
    206,654.26x = 34,586,385,551.29
  5. Step 5: Solve for x
    x = 34,586,385,551.29/206,654.26
  6. Step 6: Final answer
    x = 167,363.52

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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.