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Finding the Fourth Proportional to 105.81, 159.33 and 87.71

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Solution

The fourth proportional to 105.81, 159.33 and 87.71 is: 132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.81 : 159.33 = 87.71 : x
  2. Step 2: Convert to fraction form
    105.81/159.33 = 87.71/x
  3. Step 3: Cross multiply
    105.81x = 159.33 × 87.71
  4. Step 4: Simplify right side
    105.81x = 13,974.04
  5. Step 5: Solve for x
    x = 13,974.04/105.81
  6. Step 6: Final answer
    x = 132.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.