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Finding the Fourth Proportional to 105.71, 146.41 and 97.81

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Solution

The fourth proportional to 105.71, 146.41 and 97.81 is: 135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.71 : 146.41 = 97.81 : x
  2. Step 2: Convert to fraction form
    105.71/146.41 = 97.81/x
  3. Step 3: Cross multiply
    105.71x = 146.41 × 97.81
  4. Step 4: Simplify right side
    105.71x = 14,319.75
  5. Step 5: Solve for x
    x = 14,319.75/105.71
  6. Step 6: Final answer
    x = 135.47

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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.