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Finding the Fourth Proportional to 20,102.22, 30,172.01 and 10,248.90

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Solution

The fourth proportional to 20,102.22, 30,172.01 and 10,248.90 is: 15,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.22 : 30,172.01 = 10,248.90 : x
  2. Step 2: Convert to fraction form
    20,102.22/30,172.01 = 10,248.90/x
  3. Step 3: Cross multiply
    20,102.22x = 30,172.01 × 10,248.90
  4. Step 4: Simplify right side
    20,102.22x = 309,229,913.29
  5. Step 5: Solve for x
    x = 309,229,913.29/20,102.22
  6. Step 6: Final answer
    x = 15,382.87

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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.