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Finding the Fourth Proportional to 89.42, 123.36 and 68.66

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Solution

The fourth proportional to 89.42, 123.36 and 68.66 is: 94.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.42 : 123.36 = 68.66 : x
  2. Step 2: Convert to fraction form
    89.42/123.36 = 68.66/x
  3. Step 3: Cross multiply
    89.42x = 123.36 × 68.66
  4. Step 4: Simplify right side
    89.42x = 8,469.90
  5. Step 5: Solve for x
    x = 8,469.90/89.42
  6. Step 6: Final answer
    x = 94.72

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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.