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Finding the Fourth Proportional to 127.65, 176.96 and 121.07

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Solution

The fourth proportional to 127.65, 176.96 and 121.07 is: 167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.65 : 176.96 = 121.07 : x
  2. Step 2: Convert to fraction form
    127.65/176.96 = 121.07/x
  3. Step 3: Cross multiply
    127.65x = 176.96 × 121.07
  4. Step 4: Simplify right side
    127.65x = 21,423.97
  5. Step 5: Solve for x
    x = 21,423.97/127.65
  6. Step 6: Final answer
    x = 167.83

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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.