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Finding the Fourth Proportional to 117.37, 161.82 and 97.10

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Solution

The fourth proportional to 117.37, 161.82 and 97.10 is: 133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.37 : 161.82 = 97.10 : x
  2. Step 2: Convert to fraction form
    117.37/161.82 = 97.10/x
  3. Step 3: Cross multiply
    117.37x = 161.82 × 97.10
  4. Step 4: Simplify right side
    117.37x = 15,712.72
  5. Step 5: Solve for x
    x = 15,712.72/117.37
  6. Step 6: Final answer
    x = 133.87

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Why These Related Problems?

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