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Finding the Fourth Proportional to 97.92, 146.03 and 82.53

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Solution

The fourth proportional to 97.92, 146.03 and 82.53 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.92 : 146.03 = 82.53 : x
  2. Step 2: Convert to fraction form
    97.92/146.03 = 82.53/x
  3. Step 3: Cross multiply
    97.92x = 146.03 × 82.53
  4. Step 4: Simplify right side
    97.92x = 12,051.44
  5. Step 5: Solve for x
    x = 12,051.44/97.92
  6. Step 6: Final answer
    x = 123.07

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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.