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Finding the Fourth Proportional to 73.50, 100.74 and 71.76

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Solution

The fourth proportional to 73.50, 100.74 and 71.76 is: 98.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 100.74 = 71.76 : x
  2. Step 2: Convert to fraction form
    73.50/100.74 = 71.76/x
  3. Step 3: Cross multiply
    73.50x = 100.74 × 71.76
  4. Step 4: Simplify right side
    73.50x = 7,229.10
  5. Step 5: Solve for x
    x = 7,229.10/73.50
  6. Step 6: Final answer
    x = 98.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.