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Finding the Fourth Proportional to 192,992.28, 289,489.08 and 136,662

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Solution

The fourth proportional to 192,992.28, 289,489.08 and 136,662 is: 204,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,992.28 : 289,489.08 = 136,662 : x
  2. Step 2: Convert to fraction form
    192,992.28/289,489.08 = 136,662/x
  3. Step 3: Cross multiply
    192,992.28x = 289,489.08 × 136,662
  4. Step 4: Simplify right side
    192,992.28x = 39,562,156,650.96
  5. Step 5: Solve for x
    x = 39,562,156,650.96/192,992.28
  6. Step 6: Final answer
    x = 204,993.47

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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.