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Finding the Fourth Proportional to 105.41, 146.07 and 103.94

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Solution

The fourth proportional to 105.41, 146.07 and 103.94 is: 144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.41 : 146.07 = 103.94 : x
  2. Step 2: Convert to fraction form
    105.41/146.07 = 103.94/x
  3. Step 3: Cross multiply
    105.41x = 146.07 × 103.94
  4. Step 4: Simplify right side
    105.41x = 15,181.79
  5. Step 5: Solve for x
    x = 15,181.79/105.41
  6. Step 6: Final answer
    x = 144.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.