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Finding the Fourth Proportional to 127.42, 174.80 and 124.24

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Solution

The fourth proportional to 127.42, 174.80 and 124.24 is: 170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 174.80 = 124.24 : x
  2. Step 2: Convert to fraction form
    127.42/174.80 = 124.24/x
  3. Step 3: Cross multiply
    127.42x = 174.80 × 124.24
  4. Step 4: Simplify right side
    127.42x = 21,717.15
  5. Step 5: Solve for x
    x = 21,717.15/127.42
  6. Step 6: Final answer
    x = 170.44

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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.