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Finding the Fourth Proportional to 217,668.36, 300,372.24 and 120,878.36

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Solution

The fourth proportional to 217,668.36, 300,372.24 and 120,878.36 is: 166,806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,668.36 : 300,372.24 = 120,878.36 : x
  2. Step 2: Convert to fraction form
    217,668.36/300,372.24 = 120,878.36/x
  3. Step 3: Cross multiply
    217,668.36x = 300,372.24 × 120,878.36
  4. Step 4: Simplify right side
    217,668.36x = 36,308,504,511.66
  5. Step 5: Solve for x
    x = 36,308,504,511.66/217,668.36
  6. Step 6: Final answer
    x = 166,806.53

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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.