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Finding the Fourth Proportional to 146.62, 202.34 and 81.12

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Solution

The fourth proportional to 146.62, 202.34 and 81.12 is: 111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.62 : 202.34 = 81.12 : x
  2. Step 2: Convert to fraction form
    146.62/202.34 = 81.12/x
  3. Step 3: Cross multiply
    146.62x = 202.34 × 81.12
  4. Step 4: Simplify right side
    146.62x = 16,413.82
  5. Step 5: Solve for x
    x = 16,413.82/146.62
  6. Step 6: Final answer
    x = 111.95

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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.