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Finding the Fourth Proportional to 123.99, 171.36 and 96.32

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Solution

The fourth proportional to 123.99, 171.36 and 96.32 is: 133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.99 : 171.36 = 96.32 : x
  2. Step 2: Convert to fraction form
    123.99/171.36 = 96.32/x
  3. Step 3: Cross multiply
    123.99x = 171.36 × 96.32
  4. Step 4: Simplify right side
    123.99x = 16,504.54
  5. Step 5: Solve for x
    x = 16,504.54/123.99
  6. Step 6: Final answer
    x = 133.11

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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.