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Finding the Fourth Proportional to 79.25, 119.54 and 78.23

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Solution

The fourth proportional to 79.25, 119.54 and 78.23 is: 118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.25 : 119.54 = 78.23 : x
  2. Step 2: Convert to fraction form
    79.25/119.54 = 78.23/x
  3. Step 3: Cross multiply
    79.25x = 119.54 × 78.23
  4. Step 4: Simplify right side
    79.25x = 9,352.11
  5. Step 5: Solve for x
    x = 9,352.11/79.25
  6. Step 6: Final answer
    x = 118.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.