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Finding the Fourth Proportional to 41,214.40, 61,821.60 and 20,478.40

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Solution

The fourth proportional to 41,214.40, 61,821.60 and 20,478.40 is: 30,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,214.40 : 61,821.60 = 20,478.40 : x
  2. Step 2: Convert to fraction form
    41,214.40/61,821.60 = 20,478.40/x
  3. Step 3: Cross multiply
    41,214.40x = 61,821.60 × 20,478.40
  4. Step 4: Simplify right side
    41,214.40x = 1,266,007,453.44
  5. Step 5: Solve for x
    x = 1,266,007,453.44/41,214.40
  6. Step 6: Final answer
    x = 30,717.60

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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.