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Finding the Fourth Proportional to 206,500, 285,017 and 121,644.40

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Solution

The fourth proportional to 206,500, 285,017 and 121,644.40 is: 167,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,500 : 285,017 = 121,644.40 : x
  2. Step 2: Convert to fraction form
    206,500/285,017 = 121,644.40/x
  3. Step 3: Cross multiply
    206,500x = 285,017 × 121,644.40
  4. Step 4: Simplify right side
    206,500x = 34,670,721,954.80
  5. Step 5: Solve for x
    x = 34,670,721,954.80/206,500
  6. Step 6: Final answer
    x = 167,896.96

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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.