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Finding the Fourth Proportional to 100,696.66, 151,067.06 and 30,581.44

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Solution

The fourth proportional to 100,696.66, 151,067.06 and 30,581.44 is: 45,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,696.66 : 151,067.06 = 30,581.44 : x
  2. Step 2: Convert to fraction form
    100,696.66/151,067.06 = 30,581.44/x
  3. Step 3: Cross multiply
    100,696.66x = 151,067.06 × 30,581.44
  4. Step 4: Simplify right side
    100,696.66x = 4,619,848,231.37
  5. Step 5: Solve for x
    x = 4,619,848,231.37/100,696.66
  6. Step 6: Final answer
    x = 45,878.86

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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.