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Finding the Fourth Proportional to 206,523.49, 309,496.90 and 111,548.91

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Solution

The fourth proportional to 206,523.49, 309,496.90 and 111,548.91 is: 167,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,523.49 : 309,496.90 = 111,548.91 : x
  2. Step 2: Convert to fraction form
    206,523.49/309,496.90 = 111,548.91/x
  3. Step 3: Cross multiply
    206,523.49x = 309,496.90 × 111,548.91
  4. Step 4: Simplify right side
    206,523.49x = 34,524,042,934.27
  5. Step 5: Solve for x
    x = 34,524,042,934.27/206,523.49
  6. Step 6: Final answer
    x = 167,167.63

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1.5x scale

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.