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Finding the Fourth Proportional to 97.50, 133.95 and 81.93

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Solution

The fourth proportional to 97.50, 133.95 and 81.93 is: 112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.50 : 133.95 = 81.93 : x
  2. Step 2: Convert to fraction form
    97.50/133.95 = 81.93/x
  3. Step 3: Cross multiply
    97.50x = 133.95 × 81.93
  4. Step 4: Simplify right side
    97.50x = 10,974.52
  5. Step 5: Solve for x
    x = 10,974.52/97.50
  6. Step 6: Final answer
    x = 112.56

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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.