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Finding the Fourth Proportional to 103.03, 141.90 and 89.21

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Solution

The fourth proportional to 103.03, 141.90 and 89.21 is: 122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.03 : 141.90 = 89.21 : x
  2. Step 2: Convert to fraction form
    103.03/141.90 = 89.21/x
  3. Step 3: Cross multiply
    103.03x = 141.90 × 89.21
  4. Step 4: Simplify right side
    103.03x = 12,658.90
  5. Step 5: Solve for x
    x = 12,658.90/103.03
  6. Step 6: Final answer
    x = 122.87

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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.