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Finding the Fourth Proportional to 222,364.82, 306,861.30 and 120,387.68

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Solution

The fourth proportional to 222,364.82, 306,861.30 and 120,387.68 is: 166,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,364.82 : 306,861.30 = 120,387.68 : x
  2. Step 2: Convert to fraction form
    222,364.82/306,861.30 = 120,387.68/x
  3. Step 3: Cross multiply
    222,364.82x = 306,861.30 × 120,387.68
  4. Step 4: Simplify right side
    222,364.82x = 36,942,319,988.78
  5. Step 5: Solve for x
    x = 36,942,319,988.78/222,364.82
  6. Step 6: Final answer
    x = 166,133.83

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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.