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Finding the Fourth Proportional to 117.17, 174.80 and 113.86

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Solution

The fourth proportional to 117.17, 174.80 and 113.86 is: 169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.17 : 174.80 = 113.86 : x
  2. Step 2: Convert to fraction form
    117.17/174.80 = 113.86/x
  3. Step 3: Cross multiply
    117.17x = 174.80 × 113.86
  4. Step 4: Simplify right side
    117.17x = 19,902.16
  5. Step 5: Solve for x
    x = 19,902.16/117.17
  6. Step 6: Final answer
    x = 169.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.