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Finding the Fourth Proportional to 127.18, 176.47 and 122.04

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Solution

The fourth proportional to 127.18, 176.47 and 122.04 is: 169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.18 : 176.47 = 122.04 : x
  2. Step 2: Convert to fraction form
    127.18/176.47 = 122.04/x
  3. Step 3: Cross multiply
    127.18x = 176.47 × 122.04
  4. Step 4: Simplify right side
    127.18x = 21,536.92
  5. Step 5: Solve for x
    x = 21,536.92/127.18
  6. Step 6: Final answer
    x = 169.34

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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.