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Finding the Fourth Proportional to 172.18, 237.66 and 123.11

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Solution

The fourth proportional to 172.18, 237.66 and 123.11 is: 169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.18 : 237.66 = 123.11 : x
  2. Step 2: Convert to fraction form
    172.18/237.66 = 123.11/x
  3. Step 3: Cross multiply
    172.18x = 237.66 × 123.11
  4. Step 4: Simplify right side
    172.18x = 29,257.13
  5. Step 5: Solve for x
    x = 29,257.13/172.18
  6. Step 6: Final answer
    x = 169.93

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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.