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Finding the Fourth Proportional to 101.87, 141.33 and 96.86

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Solution

The fourth proportional to 101.87, 141.33 and 96.86 is: 134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.87 : 141.33 = 96.86 : x
  2. Step 2: Convert to fraction form
    101.87/141.33 = 96.86/x
  3. Step 3: Cross multiply
    101.87x = 141.33 × 96.86
  4. Step 4: Simplify right side
    101.87x = 13,689.40
  5. Step 5: Solve for x
    x = 13,689.40/101.87
  6. Step 6: Final answer
    x = 134.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.