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Finding the Fourth Proportional to 206,520.89, 309,799.79 and 64,367.38

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Solution

The fourth proportional to 206,520.89, 309,799.79 and 64,367.38 is: 96,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,520.89 : 309,799.79 = 64,367.38 : x
  2. Step 2: Convert to fraction form
    206,520.89/309,799.79 = 64,367.38/x
  3. Step 3: Cross multiply
    206,520.89x = 309,799.79 × 64,367.38
  4. Step 4: Simplify right side
    206,520.89x = 19,940,999,371.02
  5. Step 5: Solve for x
    x = 19,940,999,371.02/206,520.89
  6. Step 6: Final answer
    x = 96,556.81

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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.