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Finding the Fourth Proportional to 73.11, 109.22 and 71.83

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Solution

The fourth proportional to 73.11, 109.22 and 71.83 is: 107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.11 : 109.22 = 71.83 : x
  2. Step 2: Convert to fraction form
    73.11/109.22 = 71.83/x
  3. Step 3: Cross multiply
    73.11x = 109.22 × 71.83
  4. Step 4: Simplify right side
    73.11x = 7,845.27
  5. Step 5: Solve for x
    x = 7,845.27/73.11
  6. Step 6: Final answer
    x = 107.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.