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Finding the Fourth Proportional to 217,781.70, 300,517.83 and 122,266.50

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Solution

The fourth proportional to 217,781.70, 300,517.83 and 122,266.50 is: 168,716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,781.70 : 300,517.83 = 122,266.50 : x
  2. Step 2: Convert to fraction form
    217,781.70/300,517.83 = 122,266.50/x
  3. Step 3: Cross multiply
    217,781.70x = 300,517.83 × 122,266.50
  4. Step 4: Simplify right side
    217,781.70x = 36,743,263,261.70
  5. Step 5: Solve for x
    x = 36,743,263,261.70/217,781.70
  6. Step 6: Final answer
    x = 168,716.03

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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.