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Finding the Fourth Proportional to 222,052, 306,431.76 and 121,450

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Solution

The fourth proportional to 222,052, 306,431.76 and 121,450 is: 167,601

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,052 : 306,431.76 = 121,450 : x
  2. Step 2: Convert to fraction form
    222,052/306,431.76 = 121,450/x
  3. Step 3: Cross multiply
    222,052x = 306,431.76 × 121,450
  4. Step 4: Simplify right side
    222,052x = 37,216,137,252
  5. Step 5: Solve for x
    x = 37,216,137,252/222,052
  6. Step 6: Final answer
    x = 167,601

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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.