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Finding the Fourth Proportional to 20,489.40, 30,734.10 and 20,057.40

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Solution

The fourth proportional to 20,489.40, 30,734.10 and 20,057.40 is: 30,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.40 : 30,734.10 = 20,057.40 : x
  2. Step 2: Convert to fraction form
    20,489.40/30,734.10 = 20,057.40/x
  3. Step 3: Cross multiply
    20,489.40x = 30,734.10 × 20,057.40
  4. Step 4: Simplify right side
    20,489.40x = 616,446,137.34
  5. Step 5: Solve for x
    x = 616,446,137.34/20,489.40
  6. Step 6: Final answer
    x = 30,086.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.