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Finding the Fourth Proportional to 206,025.52, 308,622.75 and 172,651.90

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Solution

The fourth proportional to 206,025.52, 308,622.75 and 172,651.90 is: 258,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,025.52 : 308,622.75 = 172,651.90 : x
  2. Step 2: Convert to fraction form
    206,025.52/308,622.75 = 172,651.90/x
  3. Step 3: Cross multiply
    206,025.52x = 308,622.75 × 172,651.90
  4. Step 4: Simplify right side
    206,025.52x = 53,284,304,170.73
  5. Step 5: Solve for x
    x = 53,284,304,170.73/206,025.52
  6. Step 6: Final answer
    x = 258,629.63

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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.