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Finding the Fourth Proportional to 117.14, 176.57 and 112.82

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Solution

The fourth proportional to 117.14, 176.57 and 112.82 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.14 : 176.57 = 112.82 : x
  2. Step 2: Convert to fraction form
    117.14/176.57 = 112.82/x
  3. Step 3: Cross multiply
    117.14x = 176.57 × 112.82
  4. Step 4: Simplify right side
    117.14x = 19,920.63
  5. Step 5: Solve for x
    x = 19,920.63/117.14
  6. Step 6: Final answer
    x = 170.06

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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.