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Finding the Fourth Proportional to 105.86, 146.23 and 81.60

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Solution

The fourth proportional to 105.86, 146.23 and 81.60 is: 112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.86 : 146.23 = 81.60 : x
  2. Step 2: Convert to fraction form
    105.86/146.23 = 81.60/x
  3. Step 3: Cross multiply
    105.86x = 146.23 × 81.60
  4. Step 4: Simplify right side
    105.86x = 11,931.96
  5. Step 5: Solve for x
    x = 11,931.96/105.86
  6. Step 6: Final answer
    x = 112.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.