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Finding the Fourth Proportional to 103.26, 141.90 and 85.98

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Solution

The fourth proportional to 103.26, 141.90 and 85.98 is: 118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.26 : 141.90 = 85.98 : x
  2. Step 2: Convert to fraction form
    103.26/141.90 = 85.98/x
  3. Step 3: Cross multiply
    103.26x = 141.90 × 85.98
  4. Step 4: Simplify right side
    103.26x = 12,200.56
  5. Step 5: Solve for x
    x = 12,200.56/103.26
  6. Step 6: Final answer
    x = 118.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.