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Finding the Fourth Proportional to 36,148.40, 54,217.60 and 11,205.60

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Solution

The fourth proportional to 36,148.40, 54,217.60 and 11,205.60 is: 16,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,148.40 : 54,217.60 = 11,205.60 : x
  2. Step 2: Convert to fraction form
    36,148.40/54,217.60 = 11,205.60/x
  3. Step 3: Cross multiply
    36,148.40x = 54,217.60 × 11,205.60
  4. Step 4: Simplify right side
    36,148.40x = 607,540,738.56
  5. Step 5: Solve for x
    x = 607,540,738.56/36,148.40
  6. Step 6: Final answer
    x = 16,806.85

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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.