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Finding the Fourth Proportional to 36,489.64, 54,734.46 and 28,181.78

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Solution

The fourth proportional to 36,489.64, 54,734.46 and 28,181.78 is: 42,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,489.64 : 54,734.46 = 28,181.78 : x
  2. Step 2: Convert to fraction form
    36,489.64/54,734.46 = 28,181.78/x
  3. Step 3: Cross multiply
    36,489.64x = 54,734.46 × 28,181.78
  4. Step 4: Simplify right side
    36,489.64x = 1,542,514,510.14
  5. Step 5: Solve for x
    x = 1,542,514,510.14/36,489.64
  6. Step 6: Final answer
    x = 42,272.67

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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.