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Finding the Fourth Proportional to 206,555.54, 309,584.17 and 106,661.27

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Solution

The fourth proportional to 206,555.54, 309,584.17 and 106,661.27 is: 159,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,555.54 : 309,584.17 = 106,661.27 : x
  2. Step 2: Convert to fraction form
    206,555.54/309,584.17 = 106,661.27/x
  3. Step 3: Cross multiply
    206,555.54x = 309,584.17 × 106,661.27
  4. Step 4: Simplify right side
    206,555.54x = 33,020,641,651.38
  5. Step 5: Solve for x
    x = 33,020,641,651.38/206,555.54
  6. Step 6: Final answer
    x = 159,863.26

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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.