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Finding the Fourth Proportional to 206,418, 309,679.02 and 58,674

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Solution

The fourth proportional to 206,418, 309,679.02 and 58,674 is: 88,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,418 : 309,679.02 = 58,674 : x
  2. Step 2: Convert to fraction form
    206,418/309,679.02 = 58,674/x
  3. Step 3: Cross multiply
    206,418x = 309,679.02 × 58,674
  4. Step 4: Simplify right side
    206,418x = 18,170,106,819.48
  5. Step 5: Solve for x
    x = 18,170,106,819.48/206,418
  6. Step 6: Final answer
    x = 88,025.79

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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.