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Finding the Fourth Proportional to 88.62, 133.54 and 82

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Solution

The fourth proportional to 88.62, 133.54 and 82 is: 123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.62 : 133.54 = 82 : x
  2. Step 2: Convert to fraction form
    88.62/133.54 = 82/x
  3. Step 3: Cross multiply
    88.62x = 133.54 × 82
  4. Step 4: Simplify right side
    88.62x = 10,950.28
  5. Step 5: Solve for x
    x = 10,950.28/88.62
  6. Step 6: Final answer
    x = 123.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.