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Finding the Fourth Proportional to 206,568.81, 309,817.49 and 54,766.89

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Solution

The fourth proportional to 206,568.81, 309,817.49 and 54,766.89 is: 82,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,568.81 : 309,817.49 = 54,766.89 : x
  2. Step 2: Convert to fraction form
    206,568.81/309,817.49 = 54,766.89/x
  3. Step 3: Cross multiply
    206,568.81x = 309,817.49 × 54,766.89
  4. Step 4: Simplify right side
    206,568.81x = 16,967,740,121.07
  5. Step 5: Solve for x
    x = 16,967,740,121.07/206,568.81
  6. Step 6: Final answer
    x = 82,140.86

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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.