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Finding the Fourth Proportional to 97.76, 146.08 and 81.60

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Solution

The fourth proportional to 97.76, 146.08 and 81.60 is: 121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.76 : 146.08 = 81.60 : x
  2. Step 2: Convert to fraction form
    97.76/146.08 = 81.60/x
  3. Step 3: Cross multiply
    97.76x = 146.08 × 81.60
  4. Step 4: Simplify right side
    97.76x = 11,920.13
  5. Step 5: Solve for x
    x = 11,920.13/97.76
  6. Step 6: Final answer
    x = 121.93

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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.