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Finding the Fourth Proportional to 79.02, 108.81 and 71.82

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Solution

The fourth proportional to 79.02, 108.81 and 71.82 is: 98.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.02 : 108.81 = 71.82 : x
  2. Step 2: Convert to fraction form
    79.02/108.81 = 71.82/x
  3. Step 3: Cross multiply
    79.02x = 108.81 × 71.82
  4. Step 4: Simplify right side
    79.02x = 7,814.73
  5. Step 5: Solve for x
    x = 7,814.73/79.02
  6. Step 6: Final answer
    x = 98.90

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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.