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Finding the Fourth Proportional to 192,993.28, 289,490.58 and 136,663

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Solution

The fourth proportional to 192,993.28, 289,490.58 and 136,663 is: 204,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,993.28 : 289,490.58 = 136,663 : x
  2. Step 2: Convert to fraction form
    192,993.28/289,490.58 = 136,663/x
  3. Step 3: Cross multiply
    192,993.28x = 289,490.58 × 136,663
  4. Step 4: Simplify right side
    192,993.28x = 39,562,651,134.54
  5. Step 5: Solve for x
    x = 39,562,651,134.54/192,993.28
  6. Step 6: Final answer
    x = 204,994.97

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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.