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Finding the Fourth Proportional to 76.73, 115.08 and 19.73

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Solution

The fourth proportional to 76.73, 115.08 and 19.73 is: 29.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.73 : 115.08 = 19.73 : x
  2. Step 2: Convert to fraction form
    76.73/115.08 = 19.73/x
  3. Step 3: Cross multiply
    76.73x = 115.08 × 19.73
  4. Step 4: Simplify right side
    76.73x = 2,269.95
  5. Step 5: Solve for x
    x = 2,269.95/76.73
  6. Step 6: Final answer
    x = 29.59

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