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Finding the Fourth Proportional to 85,849.64, 128,708.22 and 32,540.84

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Solution

The fourth proportional to 85,849.64, 128,708.22 and 32,540.84 is: 48,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,849.64 : 128,708.22 = 32,540.84 : x
  2. Step 2: Convert to fraction form
    85,849.64/128,708.22 = 32,540.84/x
  3. Step 3: Cross multiply
    85,849.64x = 128,708.22 × 32,540.84
  4. Step 4: Simplify right side
    85,849.64x = 4,188,273,593.70
  5. Step 5: Solve for x
    x = 4,188,273,593.70/85,849.64
  6. Step 6: Final answer
    x = 48,786.15

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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.