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Finding the Fourth Proportional to 73.40, 109.24 and 71.80

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Solution

The fourth proportional to 73.40, 109.24 and 71.80 is: 106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.40 : 109.24 = 71.80 : x
  2. Step 2: Convert to fraction form
    73.40/109.24 = 71.80/x
  3. Step 3: Cross multiply
    73.40x = 109.24 × 71.80
  4. Step 4: Simplify right side
    73.40x = 7,843.43
  5. Step 5: Solve for x
    x = 7,843.43/73.40
  6. Step 6: Final answer
    x = 106.86

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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.