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Finding the Fourth Proportional to 89.92, 123.96 and 64

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Solution

The fourth proportional to 89.92, 123.96 and 64 is: 88.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.92 : 123.96 = 64 : x
  2. Step 2: Convert to fraction form
    89.92/123.96 = 64/x
  3. Step 3: Cross multiply
    89.92x = 123.96 × 64
  4. Step 4: Simplify right side
    89.92x = 7,933.44
  5. Step 5: Solve for x
    x = 7,933.44/89.92
  6. Step 6: Final answer
    x = 88.23

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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.