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Finding the Fourth Proportional to 89.21, 123.17 and 59.75

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Solution

The fourth proportional to 89.21, 123.17 and 59.75 is: 82.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.21 : 123.17 = 59.75 : x
  2. Step 2: Convert to fraction form
    89.21/123.17 = 59.75/x
  3. Step 3: Cross multiply
    89.21x = 123.17 × 59.75
  4. Step 4: Simplify right side
    89.21x = 7,358.95
  5. Step 5: Solve for x
    x = 7,358.95/89.21
  6. Step 6: Final answer
    x = 82.49

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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.