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Finding the Fourth Proportional to 101.41, 139.85 and 85.85

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Solution

The fourth proportional to 101.41, 139.85 and 85.85 is: 118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.41 : 139.85 = 85.85 : x
  2. Step 2: Convert to fraction form
    101.41/139.85 = 85.85/x
  3. Step 3: Cross multiply
    101.41x = 139.85 × 85.85
  4. Step 4: Simplify right side
    101.41x = 12,006.12
  5. Step 5: Solve for x
    x = 12,006.12/101.41
  6. Step 6: Final answer
    x = 118.40

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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.