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Finding the Fourth Proportional to 103.95, 144.12 and 98.48

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Solution

The fourth proportional to 103.95, 144.12 and 98.48 is: 136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.95 : 144.12 = 98.48 : x
  2. Step 2: Convert to fraction form
    103.95/144.12 = 98.48/x
  3. Step 3: Cross multiply
    103.95x = 144.12 × 98.48
  4. Step 4: Simplify right side
    103.95x = 14,192.94
  5. Step 5: Solve for x
    x = 14,192.94/103.95
  6. Step 6: Final answer
    x = 136.54

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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.