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Finding the Fourth Proportional to 127.09, 174.23 and 124.77

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Solution

The fourth proportional to 127.09, 174.23 and 124.77 is: 171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.09 : 174.23 = 124.77 : x
  2. Step 2: Convert to fraction form
    127.09/174.23 = 124.77/x
  3. Step 3: Cross multiply
    127.09x = 174.23 × 124.77
  4. Step 4: Simplify right side
    127.09x = 21,739.88
  5. Step 5: Solve for x
    x = 21,739.88/127.09
  6. Step 6: Final answer
    x = 171.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.