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Finding the Fourth Proportional to 206,400, 309,652.02 and 58,656

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Solution

The fourth proportional to 206,400, 309,652.02 and 58,656 is: 87,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,400 : 309,652.02 = 58,656 : x
  2. Step 2: Convert to fraction form
    206,400/309,652.02 = 58,656/x
  3. Step 3: Cross multiply
    206,400x = 309,652.02 × 58,656
  4. Step 4: Simplify right side
    206,400x = 18,162,948,885.12
  5. Step 5: Solve for x
    x = 18,162,948,885.12/206,400
  6. Step 6: Final answer
    x = 87,998.78

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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.