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Finding the Fourth Proportional to 33,419.80, 50,075 and 20,232.20

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Solution

The fourth proportional to 33,419.80, 50,075 and 20,232.20 is: 30,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419.80 : 50,075 = 20,232.20 : x
  2. Step 2: Convert to fraction form
    33,419.80/50,075 = 20,232.20/x
  3. Step 3: Cross multiply
    33,419.80x = 50,075 × 20,232.20
  4. Step 4: Simplify right side
    33,419.80x = 1,013,127,415
  5. Step 5: Solve for x
    x = 1,013,127,415/33,419.80
  6. Step 6: Final answer
    x = 30,315.18

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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.