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Finding the Fourth Proportional to 127.16, 174.37 and 122.57

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Solution

The fourth proportional to 127.16, 174.37 and 122.57 is: 168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.16 : 174.37 = 122.57 : x
  2. Step 2: Convert to fraction form
    127.16/174.37 = 122.57/x
  3. Step 3: Cross multiply
    127.16x = 174.37 × 122.57
  4. Step 4: Simplify right side
    127.16x = 21,372.53
  5. Step 5: Solve for x
    x = 21,372.53/127.16
  6. Step 6: Final answer
    x = 168.08

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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.