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Finding the Fourth Proportional to 221,063.56, 305,067.66 and 120,461.56

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Solution

The fourth proportional to 221,063.56, 305,067.66 and 120,461.56 is: 166,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,063.56 : 305,067.66 = 120,461.56 : x
  2. Step 2: Convert to fraction form
    221,063.56/305,067.66 = 120,461.56/x
  3. Step 3: Cross multiply
    221,063.56x = 305,067.66 × 120,461.56
  4. Step 4: Simplify right side
    221,063.56x = 36,748,926,229.15
  5. Step 5: Solve for x
    x = 36,748,926,229.15/221,063.56
  6. Step 6: Final answer
    x = 166,236.92

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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.