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Finding the Fourth Proportional to 222,296.25, 306,768.84 and 121,694.25

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Solution

The fourth proportional to 222,296.25, 306,768.84 and 121,694.25 is: 167,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,296.25 : 306,768.84 = 121,694.25 : x
  2. Step 2: Convert to fraction form
    222,296.25/306,768.84 = 121,694.25/x
  3. Step 3: Cross multiply
    222,296.25x = 306,768.84 × 121,694.25
  4. Step 4: Simplify right side
    222,296.25x = 37,332,003,907.17
  5. Step 5: Solve for x
    x = 37,332,003,907.17/222,296.25
  6. Step 6: Final answer
    x = 167,938.07

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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.