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Finding the Fourth Proportional to 206,420, 309,682.02 and 58,676

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Solution

The fourth proportional to 206,420, 309,682.02 and 58,676 is: 88,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,420 : 309,682.02 = 58,676 : x
  2. Step 2: Convert to fraction form
    206,420/309,682.02 = 58,676/x
  3. Step 3: Cross multiply
    206,420x = 309,682.02 × 58,676
  4. Step 4: Simplify right side
    206,420x = 18,170,902,205.52
  5. Step 5: Solve for x
    x = 18,170,902,205.52/206,420
  6. Step 6: Final answer
    x = 88,028.79

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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.