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Finding the Fourth Proportional to 73.54, 100.86 and 71.71

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Solution

The fourth proportional to 73.54, 100.86 and 71.71 is: 98.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.54 : 100.86 = 71.71 : x
  2. Step 2: Convert to fraction form
    73.54/100.86 = 71.71/x
  3. Step 3: Cross multiply
    73.54x = 100.86 × 71.71
  4. Step 4: Simplify right side
    73.54x = 7,231.81
  5. Step 5: Solve for x
    x = 7,231.81/73.54
  6. Step 6: Final answer
    x = 98.35

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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.