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Finding the Fourth Proportional to 89.06, 121.92 and 86.30

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Solution

The fourth proportional to 89.06, 121.92 and 86.30 is: 118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 121.92 = 86.30 : x
  2. Step 2: Convert to fraction form
    89.06/121.92 = 86.30/x
  3. Step 3: Cross multiply
    89.06x = 121.92 × 86.30
  4. Step 4: Simplify right side
    89.06x = 10,520.65
  5. Step 5: Solve for x
    x = 10,520.65/89.06
  6. Step 6: Final answer
    x = 118.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.