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Finding the Fourth Proportional to 222,361.32, 306,856.49 and 120,384.17

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Solution

The fourth proportional to 222,361.32, 306,856.49 and 120,384.17 is: 166,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,361.32 : 306,856.49 = 120,384.17 : x
  2. Step 2: Convert to fraction form
    222,361.32/306,856.49 = 120,384.17/x
  3. Step 3: Cross multiply
    222,361.32x = 306,856.49 × 120,384.17
  4. Step 4: Simplify right side
    222,361.32x = 36,940,661,721.56
  5. Step 5: Solve for x
    x = 36,940,661,721.56/222,361.32
  6. Step 6: Final answer
    x = 166,128.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.