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Finding the Fourth Proportional to 89.50, 134.86 and 79.68

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Solution

The fourth proportional to 89.50, 134.86 and 79.68 is: 120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.50 : 134.86 = 79.68 : x
  2. Step 2: Convert to fraction form
    89.50/134.86 = 79.68/x
  3. Step 3: Cross multiply
    89.50x = 134.86 × 79.68
  4. Step 4: Simplify right side
    89.50x = 10,745.31
  5. Step 5: Solve for x
    x = 10,745.31/89.50
  6. Step 6: Final answer
    x = 120.06

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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.