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Finding the Fourth Proportional to 100.20, 137.97 and 86.36

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Solution

The fourth proportional to 100.20, 137.97 and 86.36 is: 118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.20 : 137.97 = 86.36 : x
  2. Step 2: Convert to fraction form
    100.20/137.97 = 86.36/x
  3. Step 3: Cross multiply
    100.20x = 137.97 × 86.36
  4. Step 4: Simplify right side
    100.20x = 11,915.09
  5. Step 5: Solve for x
    x = 11,915.09/100.20
  6. Step 6: Final answer
    x = 118.91

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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.