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Finding the Fourth Proportional to 122.14, 182.33 and 117.87

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Solution

The fourth proportional to 122.14, 182.33 and 117.87 is: 175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.14 : 182.33 = 117.87 : x
  2. Step 2: Convert to fraction form
    122.14/182.33 = 117.87/x
  3. Step 3: Cross multiply
    122.14x = 182.33 × 117.87
  4. Step 4: Simplify right side
    122.14x = 21,490.33
  5. Step 5: Solve for x
    x = 21,490.33/122.14
  6. Step 6: Final answer
    x = 175.96

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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.