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Finding the Fourth Proportional to 206,568.70, 309,853.05 and 173,107.60

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Solution

The fourth proportional to 206,568.70, 309,853.05 and 173,107.60 is: 259,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,568.70 : 309,853.05 = 173,107.60 : x
  2. Step 2: Convert to fraction form
    206,568.70/309,853.05 = 173,107.60/x
  3. Step 3: Cross multiply
    206,568.70x = 309,853.05 × 173,107.60
  4. Step 4: Simplify right side
    206,568.70x = 53,637,917,838.18
  5. Step 5: Solve for x
    x = 53,637,917,838.18/206,568.70
  6. Step 6: Final answer
    x = 259,661.40

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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.