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Finding the Fourth Proportional to 125.09, 172.61 and 81.38

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Solution

The fourth proportional to 125.09, 172.61 and 81.38 is: 112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.09 : 172.61 = 81.38 : x
  2. Step 2: Convert to fraction form
    125.09/172.61 = 81.38/x
  3. Step 3: Cross multiply
    125.09x = 172.61 × 81.38
  4. Step 4: Simplify right side
    125.09x = 14,045.73
  5. Step 5: Solve for x
    x = 14,045.73/125.09
  6. Step 6: Final answer
    x = 112.29

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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.