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Finding the Fourth Proportional to 72,806.85, 109,195.70 and 20,202.21

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Solution

The fourth proportional to 72,806.85, 109,195.70 and 20,202.21 is: 30,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,806.85 : 109,195.70 = 20,202.21 : x
  2. Step 2: Convert to fraction form
    72,806.85/109,195.70 = 20,202.21/x
  3. Step 3: Cross multiply
    72,806.85x = 109,195.70 × 20,202.21
  4. Step 4: Simplify right side
    72,806.85x = 2,205,994,361.49
  5. Step 5: Solve for x
    x = 2,205,994,361.49/72,806.85
  6. Step 6: Final answer
    x = 30,299.27

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1.5x scale

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.