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Finding the Fourth Proportional to 76.73, 105.87 and 42.23

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Solution

The fourth proportional to 76.73, 105.87 and 42.23 is: 58.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.73 : 105.87 = 42.23 : x
  2. Step 2: Convert to fraction form
    76.73/105.87 = 42.23/x
  3. Step 3: Cross multiply
    76.73x = 105.87 × 42.23
  4. Step 4: Simplify right side
    76.73x = 4,470.36
  5. Step 5: Solve for x
    x = 4,470.36/76.73
  6. Step 6: Final answer
    x = 58.26

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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.