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Finding the Fourth Proportional to 20,200.13, 30,305 and 10,180.25

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Solution

The fourth proportional to 20,200.13, 30,305 and 10,180.25 is: 15,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.13 : 30,305 = 10,180.25 : x
  2. Step 2: Convert to fraction form
    20,200.13/30,305 = 10,180.25/x
  3. Step 3: Cross multiply
    20,200.13x = 30,305 × 10,180.25
  4. Step 4: Simplify right side
    20,200.13x = 308,512,476.25
  5. Step 5: Solve for x
    x = 308,512,476.25/20,200.13
  6. Step 6: Final answer
    x = 15,272.80

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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.