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Finding the Fourth Proportional to 222,264, 306,729.18 and 121,662

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Solution

The fourth proportional to 222,264, 306,729.18 and 121,662 is: 167,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,264 : 306,729.18 = 121,662 : x
  2. Step 2: Convert to fraction form
    222,264/306,729.18 = 121,662/x
  3. Step 3: Cross multiply
    222,264x = 306,729.18 × 121,662
  4. Step 4: Simplify right side
    222,264x = 37,317,285,497.16
  5. Step 5: Solve for x
    x = 37,317,285,497.16/222,264
  6. Step 6: Final answer
    x = 167,896.22

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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.