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Finding the Fourth Proportional to 206,673, 309,720.69 and 111,698.43

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Solution

The fourth proportional to 206,673, 309,720.69 and 111,698.43 is: 167,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,673 : 309,720.69 = 111,698.43 : x
  2. Step 2: Convert to fraction form
    206,673/309,720.69 = 111,698.43/x
  3. Step 3: Cross multiply
    206,673x = 309,720.69 × 111,698.43
  4. Step 4: Simplify right side
    206,673x = 34,595,314,811.52
  5. Step 5: Solve for x
    x = 34,595,314,811.52/206,673
  6. Step 6: Final answer
    x = 167,391.55

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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.