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Finding the Fourth Proportional to 122.54, 183.54 and 76.64

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Solution

The fourth proportional to 122.54, 183.54 and 76.64 is: 114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.54 : 183.54 = 76.64 : x
  2. Step 2: Convert to fraction form
    122.54/183.54 = 76.64/x
  3. Step 3: Cross multiply
    122.54x = 183.54 × 76.64
  4. Step 4: Simplify right side
    122.54x = 14,066.51
  5. Step 5: Solve for x
    x = 14,066.51/122.54
  6. Step 6: Final answer
    x = 114.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.