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Finding the Fourth Proportional to 101.71, 140.40 and 72.61

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Solution

The fourth proportional to 101.71, 140.40 and 72.61 is: 100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.71 : 140.40 = 72.61 : x
  2. Step 2: Convert to fraction form
    101.71/140.40 = 72.61/x
  3. Step 3: Cross multiply
    101.71x = 140.40 × 72.61
  4. Step 4: Simplify right side
    101.71x = 10,194.44
  5. Step 5: Solve for x
    x = 10,194.44/101.71
  6. Step 6: Final answer
    x = 100.23

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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.