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Finding the Fourth Proportional to 206,661.94, 309,704.20 and 111,687.38

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Solution

The fourth proportional to 206,661.94, 309,704.20 and 111,687.38 is: 167,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,661.94 : 309,704.20 = 111,687.38 : x
  2. Step 2: Convert to fraction form
    206,661.94/309,704.20 = 111,687.38/x
  3. Step 3: Cross multiply
    206,661.94x = 309,704.20 × 111,687.38
  4. Step 4: Simplify right side
    206,661.94x = 34,590,050,673.00
  5. Step 5: Solve for x
    x = 34,590,050,673.00/206,661.94
  6. Step 6: Final answer
    x = 167,375.04

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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.