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Finding the Fourth Proportional to 119.75, 165.28 and 78.23

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Solution

The fourth proportional to 119.75, 165.28 and 78.23 is: 107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.75 : 165.28 = 78.23 : x
  2. Step 2: Convert to fraction form
    119.75/165.28 = 78.23/x
  3. Step 3: Cross multiply
    119.75x = 165.28 × 78.23
  4. Step 4: Simplify right side
    119.75x = 12,929.46
  5. Step 5: Solve for x
    x = 12,929.46/119.75
  6. Step 6: Final answer
    x = 107.97

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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.