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Finding the Fourth Proportional to 127.63, 175.96 and 88.22

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Solution

The fourth proportional to 127.63, 175.96 and 88.22 is: 121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.63 : 175.96 = 88.22 : x
  2. Step 2: Convert to fraction form
    127.63/175.96 = 88.22/x
  3. Step 3: Cross multiply
    127.63x = 175.96 × 88.22
  4. Step 4: Simplify right side
    127.63x = 15,522.75
  5. Step 5: Solve for x
    x = 15,522.75/127.63
  6. Step 6: Final answer
    x = 121.62

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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.