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Finding the Fourth Proportional to 206,406, 309,623.58 and 81,747

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Solution

The fourth proportional to 206,406, 309,623.58 and 81,747 is: 122,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,406 : 309,623.58 = 81,747 : x
  2. Step 2: Convert to fraction form
    206,406/309,623.58 = 81,747/x
  3. Step 3: Cross multiply
    206,406x = 309,623.58 × 81,747
  4. Step 4: Simplify right side
    206,406x = 25,310,798,794.26
  5. Step 5: Solve for x
    x = 25,310,798,794.26/206,406
  6. Step 6: Final answer
    x = 122,626.27

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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.