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Finding the Fourth Proportional to 77.69, 116.24 and 71.82

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Solution

The fourth proportional to 77.69, 116.24 and 71.82 is: 107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.69 : 116.24 = 71.82 : x
  2. Step 2: Convert to fraction form
    77.69/116.24 = 71.82/x
  3. Step 3: Cross multiply
    77.69x = 116.24 × 71.82
  4. Step 4: Simplify right side
    77.69x = 8,348.00
  5. Step 5: Solve for x
    x = 8,348.00/77.69
  6. Step 6: Final answer
    x = 107.45

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Why These Related Problems?

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