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Finding the Fourth Proportional to 206,189.40, 309,105.84 and 92,250

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Solution

The fourth proportional to 206,189.40, 309,105.84 and 92,250 is: 138,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,189.40 : 309,105.84 = 92,250 : x
  2. Step 2: Convert to fraction form
    206,189.40/309,105.84 = 92,250/x
  3. Step 3: Cross multiply
    206,189.40x = 309,105.84 × 92,250
  4. Step 4: Simplify right side
    206,189.40x = 28,515,013,740.00
  5. Step 5: Solve for x
    x = 28,515,013,740.00/206,189.40
  6. Step 6: Final answer
    x = 138,295.25

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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.