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Finding the Fourth Proportional to 222,451.72, 306,981.82 and 120,474.84

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Solution

The fourth proportional to 222,451.72, 306,981.82 and 120,474.84 is: 166,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,451.72 : 306,981.82 = 120,474.84 : x
  2. Step 2: Convert to fraction form
    222,451.72/306,981.82 = 120,474.84/x
  3. Step 3: Cross multiply
    222,451.72x = 306,981.82 × 120,474.84
  4. Step 4: Simplify right side
    222,451.72x = 36,983,585,647.41
  5. Step 5: Solve for x
    x = 36,983,585,647.41/222,451.72
  6. Step 6: Final answer
    x = 166,254.44

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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.