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Finding the Fourth Proportional to 73.85, 110.27 and 61.55

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Solution

The fourth proportional to 73.85, 110.27 and 61.55 is: 91.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.85 : 110.27 = 61.55 : x
  2. Step 2: Convert to fraction form
    73.85/110.27 = 61.55/x
  3. Step 3: Cross multiply
    73.85x = 110.27 × 61.55
  4. Step 4: Simplify right side
    73.85x = 6,786.26
  5. Step 5: Solve for x
    x = 6,786.26/73.85
  6. Step 6: Final answer
    x = 91.90

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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.