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Finding the Fourth Proportional to 202,209, 303,320.79 and 75,836.40

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Solution

The fourth proportional to 202,209, 303,320.79 and 75,836.40 is: 113,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209 : 303,320.79 = 75,836.40 : x
  2. Step 2: Convert to fraction form
    202,209/303,320.79 = 75,836.40/x
  3. Step 3: Cross multiply
    202,209x = 303,320.79 × 75,836.40
  4. Step 4: Simplify right side
    202,209x = 23,002,756,758.76
  5. Step 5: Solve for x
    x = 23,002,756,758.76/202,209
  6. Step 6: Final answer
    x = 113,757.33

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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.