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Finding the Fourth Proportional to 88.23, 132.62 and 81.89

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Solution

The fourth proportional to 88.23, 132.62 and 81.89 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.23 : 132.62 = 81.89 : x
  2. Step 2: Convert to fraction form
    88.23/132.62 = 81.89/x
  3. Step 3: Cross multiply
    88.23x = 132.62 × 81.89
  4. Step 4: Simplify right side
    88.23x = 10,860.11
  5. Step 5: Solve for x
    x = 10,860.11/88.23
  6. Step 6: Final answer
    x = 123.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.