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Finding the Fourth Proportional to 222,330, 306,813.58 and 120,353.36

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Solution

The fourth proportional to 222,330, 306,813.58 and 120,353.36 is: 166,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,330 : 306,813.58 = 120,353.36 : x
  2. Step 2: Convert to fraction form
    222,330/306,813.58 = 120,353.36/x
  3. Step 3: Cross multiply
    222,330x = 306,813.58 × 120,353.36
  4. Step 4: Simplify right side
    222,330x = 36,926,045,246.63
  5. Step 5: Solve for x
    x = 36,926,045,246.63/222,330
  6. Step 6: Final answer
    x = 166,086.65

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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.