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Finding the Fourth Proportional to 116.72, 160.91 and 81.78

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Solution

The fourth proportional to 116.72, 160.91 and 81.78 is: 112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.72 : 160.91 = 81.78 : x
  2. Step 2: Convert to fraction form
    116.72/160.91 = 81.78/x
  3. Step 3: Cross multiply
    116.72x = 160.91 × 81.78
  4. Step 4: Simplify right side
    116.72x = 13,160.10
  5. Step 5: Solve for x
    x = 13,160.10/116.72
  6. Step 6: Final answer
    x = 112.75

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