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Finding the Fourth Proportional to 206,698.37, 309,758.85 and 111,723.84

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Solution

The fourth proportional to 206,698.37, 309,758.85 and 111,723.84 is: 167,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698.37 : 309,758.85 = 111,723.84 : x
  2. Step 2: Convert to fraction form
    206,698.37/309,758.85 = 111,723.84/x
  3. Step 3: Cross multiply
    206,698.37x = 309,758.85 × 111,723.84
  4. Step 4: Simplify right side
    206,698.37x = 34,607,448,195.98
  5. Step 5: Solve for x
    x = 34,607,448,195.98/206,698.37
  6. Step 6: Final answer
    x = 167,429.71

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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.