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Finding the Fourth Proportional to 127.22, 175.65 and 80.63

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Solution

The fourth proportional to 127.22, 175.65 and 80.63 is: 111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.22 : 175.65 = 80.63 : x
  2. Step 2: Convert to fraction form
    127.22/175.65 = 80.63/x
  3. Step 3: Cross multiply
    127.22x = 175.65 × 80.63
  4. Step 4: Simplify right side
    127.22x = 14,162.90
  5. Step 5: Solve for x
    x = 14,162.90/127.22
  6. Step 6: Final answer
    x = 111.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.