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Finding the Fourth Proportional to 172.62, 238.08 and 123.48

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Solution

The fourth proportional to 172.62, 238.08 and 123.48 is: 170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.62 : 238.08 = 123.48 : x
  2. Step 2: Convert to fraction form
    172.62/238.08 = 123.48/x
  3. Step 3: Cross multiply
    172.62x = 238.08 × 123.48
  4. Step 4: Simplify right side
    172.62x = 29,398.12
  5. Step 5: Solve for x
    x = 29,398.12/172.62
  6. Step 6: Final answer
    x = 170.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.