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Finding the Fourth Proportional to 89.07, 123 and 77.62

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Solution

The fourth proportional to 89.07, 123 and 77.62 is: 107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.07 : 123 = 77.62 : x
  2. Step 2: Convert to fraction form
    89.07/123 = 77.62/x
  3. Step 3: Cross multiply
    89.07x = 123 × 77.62
  4. Step 4: Simplify right side
    89.07x = 9,546.65
  5. Step 5: Solve for x
    x = 9,546.65/89.07
  6. Step 6: Final answer
    x = 107.18

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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.