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Finding the Fourth Proportional to 73.71, 111.24 and 71.82

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Solution

The fourth proportional to 73.71, 111.24 and 71.82 is: 108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.71 : 111.24 = 71.82 : x
  2. Step 2: Convert to fraction form
    73.71/111.24 = 71.82/x
  3. Step 3: Cross multiply
    73.71x = 111.24 × 71.82
  4. Step 4: Simplify right side
    73.71x = 7,989.26
  5. Step 5: Solve for x
    x = 7,989.26/73.71
  6. Step 6: Final answer
    x = 108.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.