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Finding the Fourth Proportional to 222,361.06, 306,856.00 and 120,383.81

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Solution

The fourth proportional to 222,361.06, 306,856.00 and 120,383.81 is: 166,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,361.06 : 306,856.00 = 120,383.81 : x
  2. Step 2: Convert to fraction form
    222,361.06/306,856.00 = 120,383.81/x
  3. Step 3: Cross multiply
    222,361.06x = 306,856.00 × 120,383.81
  4. Step 4: Simplify right side
    222,361.06x = 36,940,493,799.44
  5. Step 5: Solve for x
    x = 36,940,493,799.44/222,361.06
  6. Step 6: Final answer
    x = 166,128.43

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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.