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Finding the Fourth Proportional to 20,080.19, 30,107.19 and 10,205.75

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Solution

The fourth proportional to 20,080.19, 30,107.19 and 10,205.75 is: 15,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,080.19 : 30,107.19 = 10,205.75 : x
  2. Step 2: Convert to fraction form
    20,080.19/30,107.19 = 10,205.75/x
  3. Step 3: Cross multiply
    20,080.19x = 30,107.19 × 10,205.75
  4. Step 4: Simplify right side
    20,080.19x = 307,266,454.34
  5. Step 5: Solve for x
    x = 307,266,454.34/20,080.19
  6. Step 6: Final answer
    x = 15,301.97

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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.