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Finding the Fourth Proportional to 117.46, 175.01 and 111.25

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Solution

The fourth proportional to 117.46, 175.01 and 111.25 is: 165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.46 : 175.01 = 111.25 : x
  2. Step 2: Convert to fraction form
    117.46/175.01 = 111.25/x
  3. Step 3: Cross multiply
    117.46x = 175.01 × 111.25
  4. Step 4: Simplify right side
    117.46x = 19,469.86
  5. Step 5: Solve for x
    x = 19,469.86/117.46
  6. Step 6: Final answer
    x = 165.76

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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.