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Finding the Fourth Proportional to 222,401, 306,914.46 and 121,799

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Solution

The fourth proportional to 222,401, 306,914.46 and 121,799 is: 168,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,401 : 306,914.46 = 121,799 : x
  2. Step 2: Convert to fraction form
    222,401/306,914.46 = 121,799/x
  3. Step 3: Cross multiply
    222,401x = 306,914.46 × 121,799
  4. Step 4: Simplify right side
    222,401x = 37,381,874,313.54
  5. Step 5: Solve for x
    x = 37,381,874,313.54/222,401
  6. Step 6: Final answer
    x = 168,083.21

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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.