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Finding the Fourth Proportional to 222,409.30, 306,926.29 and 120,434.77

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Solution

The fourth proportional to 222,409.30, 306,926.29 and 120,434.77 is: 166,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,409.30 : 306,926.29 = 120,434.77 : x
  2. Step 2: Convert to fraction form
    222,409.30/306,926.29 = 120,434.77/x
  3. Step 3: Cross multiply
    222,409.30x = 306,926.29 × 120,434.77
  4. Step 4: Simplify right side
    222,409.30x = 36,964,595,793.17
  5. Step 5: Solve for x
    x = 36,964,595,793.17/222,409.30
  6. Step 6: Final answer
    x = 166,200.77

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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.