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Finding the Fourth Proportional to 200,792.54, 300,787.12 and 120,786.38

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Solution

The fourth proportional to 200,792.54, 300,787.12 and 120,786.38 is: 180,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,792.54 : 300,787.12 = 120,786.38 : x
  2. Step 2: Convert to fraction form
    200,792.54/300,787.12 = 120,786.38/x
  3. Step 3: Cross multiply
    200,792.54x = 300,787.12 × 120,786.38
  4. Step 4: Simplify right side
    200,792.54x = 36,330,987,375.43
  5. Step 5: Solve for x
    x = 36,330,987,375.43/200,792.54
  6. Step 6: Final answer
    x = 180,937.93

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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.