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Finding the Fourth Proportional to 127.99, 177.44 and 123.54

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Solution

The fourth proportional to 127.99, 177.44 and 123.54 is: 171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.99 : 177.44 = 123.54 : x
  2. Step 2: Convert to fraction form
    127.99/177.44 = 123.54/x
  3. Step 3: Cross multiply
    127.99x = 177.44 × 123.54
  4. Step 4: Simplify right side
    127.99x = 21,920.94
  5. Step 5: Solve for x
    x = 21,920.94/127.99
  6. Step 6: Final answer
    x = 171.27

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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.