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Finding the Fourth Proportional to 89.77, 123.82 and 54.77

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Solution

The fourth proportional to 89.77, 123.82 and 54.77 is: 75.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.77 : 123.82 = 54.77 : x
  2. Step 2: Convert to fraction form
    89.77/123.82 = 54.77/x
  3. Step 3: Cross multiply
    89.77x = 123.82 × 54.77
  4. Step 4: Simplify right side
    89.77x = 6,781.62
  5. Step 5: Solve for x
    x = 6,781.62/89.77
  6. Step 6: Final answer
    x = 75.54

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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.