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Finding the Fourth Proportional to 89.50, 123.28 and 67.64

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Solution

The fourth proportional to 89.50, 123.28 and 67.64 is: 93.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.50 : 123.28 = 67.64 : x
  2. Step 2: Convert to fraction form
    89.50/123.28 = 67.64/x
  3. Step 3: Cross multiply
    89.50x = 123.28 × 67.64
  4. Step 4: Simplify right side
    89.50x = 8,338.66
  5. Step 5: Solve for x
    x = 8,338.66/89.50
  6. Step 6: Final answer
    x = 93.17

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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.