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Finding the Fourth Proportional to 92.62, 128.45 and 89.38

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Solution

The fourth proportional to 92.62, 128.45 and 89.38 is: 123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.62 : 128.45 = 89.38 : x
  2. Step 2: Convert to fraction form
    92.62/128.45 = 89.38/x
  3. Step 3: Cross multiply
    92.62x = 128.45 × 89.38
  4. Step 4: Simplify right side
    92.62x = 11,480.86
  5. Step 5: Solve for x
    x = 11,480.86/92.62
  6. Step 6: Final answer
    x = 123.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.