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Finding the Fourth Proportional to 222,286.50, 306,755.37 and 121,684.50

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Solution

The fourth proportional to 222,286.50, 306,755.37 and 121,684.50 is: 167,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,286.50 : 306,755.37 = 121,684.50 : x
  2. Step 2: Convert to fraction form
    222,286.50/306,755.37 = 121,684.50/x
  3. Step 3: Cross multiply
    222,286.50x = 306,755.37 × 121,684.50
  4. Step 4: Simplify right side
    222,286.50x = 37,327,373,820.77
  5. Step 5: Solve for x
    x = 37,327,373,820.77/222,286.50
  6. Step 6: Final answer
    x = 167,924.61

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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.