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Finding the Fourth Proportional to 125, 172.50 and 92.41

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Solution

The fourth proportional to 125, 172.50 and 92.41 is: 127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125 : 172.50 = 92.41 : x
  2. Step 2: Convert to fraction form
    125/172.50 = 92.41/x
  3. Step 3: Cross multiply
    125x = 172.50 × 92.41
  4. Step 4: Simplify right side
    125x = 15,940.73
  5. Step 5: Solve for x
    x = 15,940.73/125
  6. Step 6: Final answer
    x = 127.53

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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.