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Finding the Fourth Proportional to 127.68, 176.04 and 88.80

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Solution

The fourth proportional to 127.68, 176.04 and 88.80 is: 122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.68 : 176.04 = 88.80 : x
  2. Step 2: Convert to fraction form
    127.68/176.04 = 88.80/x
  3. Step 3: Cross multiply
    127.68x = 176.04 × 88.80
  4. Step 4: Simplify right side
    127.68x = 15,632.35
  5. Step 5: Solve for x
    x = 15,632.35/127.68
  6. Step 6: Final answer
    x = 122.43

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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.