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Finding the Fourth Proportional to 221,965.82, 332,951.81 and 72,206.90

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Solution

The fourth proportional to 221,965.82, 332,951.81 and 72,206.90 is: 108,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,965.82 : 332,951.81 = 72,206.90 : x
  2. Step 2: Convert to fraction form
    221,965.82/332,951.81 = 72,206.90/x
  3. Step 3: Cross multiply
    221,965.82x = 332,951.81 × 72,206.90
  4. Step 4: Simplify right side
    221,965.82x = 24,041,416,023.70
  5. Step 5: Solve for x
    x = 24,041,416,023.70/221,965.82
  6. Step 6: Final answer
    x = 108,311.34

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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.