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Finding the Fourth Proportional to 221,429.70, 332,193.15 and 109,163.70

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Solution

The fourth proportional to 221,429.70, 332,193.15 and 109,163.70 is: 163,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,429.70 : 332,193.15 = 109,163.70 : x
  2. Step 2: Convert to fraction form
    221,429.70/332,193.15 = 109,163.70/x
  3. Step 3: Cross multiply
    221,429.70x = 332,193.15 × 109,163.70
  4. Step 4: Simplify right side
    221,429.70x = 36,263,433,368.66
  5. Step 5: Solve for x
    x = 36,263,433,368.66/221,429.70
  6. Step 6: Final answer
    x = 163,769.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.