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Finding the Fourth Proportional to 206,170.97, 308,868.47 and 161,662.55

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Solution

The fourth proportional to 206,170.97, 308,868.47 and 161,662.55 is: 242,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,170.97 : 308,868.47 = 161,662.55 : x
  2. Step 2: Convert to fraction form
    206,170.97/308,868.47 = 161,662.55/x
  3. Step 3: Cross multiply
    206,170.97x = 308,868.47 × 161,662.55
  4. Step 4: Simplify right side
    206,170.97x = 49,932,463,666.49
  5. Step 5: Solve for x
    x = 49,932,463,666.49/206,170.97
  6. Step 6: Final answer
    x = 242,189.59

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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.