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Finding the Fourth Proportional to 100,857.53, 151,286.16 and 29,781.11

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Solution

The fourth proportional to 100,857.53, 151,286.16 and 29,781.11 is: 44,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,857.53 : 151,286.16 = 29,781.11 : x
  2. Step 2: Convert to fraction form
    100,857.53/151,286.16 = 29,781.11/x
  3. Step 3: Cross multiply
    100,857.53x = 151,286.16 × 29,781.11
  4. Step 4: Simplify right side
    100,857.53x = 4,505,469,772.44
  5. Step 5: Solve for x
    x = 4,505,469,772.44/100,857.53
  6. Step 6: Final answer
    x = 44,671.63

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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.