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Finding the Fourth Proportional to 222,238, 306,688.44 and 121,636

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Solution

The fourth proportional to 222,238, 306,688.44 and 121,636 is: 167,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,238 : 306,688.44 = 121,636 : x
  2. Step 2: Convert to fraction form
    222,238/306,688.44 = 121,636/x
  3. Step 3: Cross multiply
    222,238x = 306,688.44 × 121,636
  4. Step 4: Simplify right side
    222,238x = 37,304,355,087.84
  5. Step 5: Solve for x
    x = 37,304,355,087.84/222,238
  6. Step 6: Final answer
    x = 167,857.68

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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.