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Finding the Fourth Proportional to 116.72, 176.06 and 113.07

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Solution

The fourth proportional to 116.72, 176.06 and 113.07 is: 170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.72 : 176.06 = 113.07 : x
  2. Step 2: Convert to fraction form
    116.72/176.06 = 113.07/x
  3. Step 3: Cross multiply
    116.72x = 176.06 × 113.07
  4. Step 4: Simplify right side
    116.72x = 19,906.54
  5. Step 5: Solve for x
    x = 19,906.54/116.72
  6. Step 6: Final answer
    x = 170.56

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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.