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Finding the Fourth Proportional to 73.91, 102.08 and 61.67

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Solution

The fourth proportional to 73.91, 102.08 and 61.67 is: 85.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.91 : 102.08 = 61.67 : x
  2. Step 2: Convert to fraction form
    73.91/102.08 = 61.67/x
  3. Step 3: Cross multiply
    73.91x = 102.08 × 61.67
  4. Step 4: Simplify right side
    73.91x = 6,295.68
  5. Step 5: Solve for x
    x = 6,295.68/73.91
  6. Step 6: Final answer
    x = 85.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.