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Finding the Fourth Proportional to 222,361.82, 306,857.18 and 120,384.67

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Solution

The fourth proportional to 222,361.82, 306,857.18 and 120,384.67 is: 166,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,361.82 : 306,857.18 = 120,384.67 : x
  2. Step 2: Convert to fraction form
    222,361.82/306,857.18 = 120,384.67/x
  3. Step 3: Cross multiply
    222,361.82x = 306,857.18 × 120,384.67
  4. Step 4: Simplify right side
    222,361.82x = 36,940,898,215.22
  5. Step 5: Solve for x
    x = 36,940,898,215.22/222,361.82
  6. Step 6: Final answer
    x = 166,129.68

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1.5x scale

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.