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Finding the Fourth Proportional to 117.56, 174.87 and 111.80

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Solution

The fourth proportional to 117.56, 174.87 and 111.80 is: 166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.56 : 174.87 = 111.80 : x
  2. Step 2: Convert to fraction form
    117.56/174.87 = 111.80/x
  3. Step 3: Cross multiply
    117.56x = 174.87 × 111.80
  4. Step 4: Simplify right side
    117.56x = 19,550.47
  5. Step 5: Solve for x
    x = 19,550.47/117.56
  6. Step 6: Final answer
    x = 166.30

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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.