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Finding the Fourth Proportional to 222,361.76, 306,859.29 and 120,387.20

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Solution

The fourth proportional to 222,361.76, 306,859.29 and 120,387.20 is: 166,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,361.76 : 306,859.29 = 120,387.20 : x
  2. Step 2: Convert to fraction form
    222,361.76/306,859.29 = 120,387.20/x
  3. Step 3: Cross multiply
    222,361.76x = 306,859.29 × 120,387.20
  4. Step 4: Simplify right side
    222,361.76x = 36,941,930,717.09
  5. Step 5: Solve for x
    x = 36,941,930,717.09/222,361.76
  6. Step 6: Final answer
    x = 166,134.37

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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.