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Finding the Fourth Proportional to 127.42, 175.89 and 88.63

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Solution

The fourth proportional to 127.42, 175.89 and 88.63 is: 122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 175.89 = 88.63 : x
  2. Step 2: Convert to fraction form
    127.42/175.89 = 88.63/x
  3. Step 3: Cross multiply
    127.42x = 175.89 × 88.63
  4. Step 4: Simplify right side
    127.42x = 15,589.13
  5. Step 5: Solve for x
    x = 15,589.13/127.42
  6. Step 6: Final answer
    x = 122.34

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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.