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Finding the Fourth Proportional to 204,180, 281,768.40 and 114,756

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Solution

The fourth proportional to 204,180, 281,768.40 and 114,756 is: 158,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,180 : 281,768.40 = 114,756 : x
  2. Step 2: Convert to fraction form
    204,180/281,768.40 = 114,756/x
  3. Step 3: Cross multiply
    204,180x = 281,768.40 × 114,756
  4. Step 4: Simplify right side
    204,180x = 32,334,614,510.40
  5. Step 5: Solve for x
    x = 32,334,614,510.40/204,180
  6. Step 6: Final answer
    x = 158,363.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.