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Finding the Fourth Proportional to 80.15, 120.19 and 26.03

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Solution

The fourth proportional to 80.15, 120.19 and 26.03 is: 39.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.15 : 120.19 = 26.03 : x
  2. Step 2: Convert to fraction form
    80.15/120.19 = 26.03/x
  3. Step 3: Cross multiply
    80.15x = 120.19 × 26.03
  4. Step 4: Simplify right side
    80.15x = 3,128.55
  5. Step 5: Solve for x
    x = 3,128.55/80.15
  6. Step 6: Final answer
    x = 39.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.