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Finding the Fourth Proportional to 72.82, 109.15 and 24.69

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Solution

The fourth proportional to 72.82, 109.15 and 24.69 is: 37.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.82 : 109.15 = 24.69 : x
  2. Step 2: Convert to fraction form
    72.82/109.15 = 24.69/x
  3. Step 3: Cross multiply
    72.82x = 109.15 × 24.69
  4. Step 4: Simplify right side
    72.82x = 2,694.91
  5. Step 5: Solve for x
    x = 2,694.91/72.82
  6. Step 6: Final answer
    x = 37.01

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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.