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Finding the Fourth Proportional to 206,564.99, 309,934.96 and 112,961.39

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Solution

The fourth proportional to 206,564.99, 309,934.96 and 112,961.39 is: 169,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,564.99 : 309,934.96 = 112,961.39 : x
  2. Step 2: Convert to fraction form
    206,564.99/309,934.96 = 112,961.39/x
  3. Step 3: Cross multiply
    206,564.99x = 309,934.96 × 112,961.39
  4. Step 4: Simplify right side
    206,564.99x = 35,010,682,059.12
  5. Step 5: Solve for x
    x = 35,010,682,059.12/206,564.99
  6. Step 6: Final answer
    x = 169,489.92

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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.