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Finding the Fourth Proportional to 165.12, 227.82 and 123.75

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Solution

The fourth proportional to 165.12, 227.82 and 123.75 is: 170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.12 : 227.82 = 123.75 : x
  2. Step 2: Convert to fraction form
    165.12/227.82 = 123.75/x
  3. Step 3: Cross multiply
    165.12x = 227.82 × 123.75
  4. Step 4: Simplify right side
    165.12x = 28,192.73
  5. Step 5: Solve for x
    x = 28,192.73/165.12
  6. Step 6: Final answer
    x = 170.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.