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Finding the Fourth Proportional to 50,176.80, 75,250.81 and 20,191

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Solution

The fourth proportional to 50,176.80, 75,250.81 and 20,191 is: 30,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,176.80 : 75,250.81 = 20,191 : x
  2. Step 2: Convert to fraction form
    50,176.80/75,250.81 = 20,191/x
  3. Step 3: Cross multiply
    50,176.80x = 75,250.81 × 20,191
  4. Step 4: Simplify right side
    50,176.80x = 1,519,389,104.71
  5. Step 5: Solve for x
    x = 1,519,389,104.71/50,176.80
  6. Step 6: Final answer
    x = 30,280.71

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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.