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Finding the Fourth Proportional to 109.12, 150.24 and 98.86

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Solution

The fourth proportional to 109.12, 150.24 and 98.86 is: 136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.12 : 150.24 = 98.86 : x
  2. Step 2: Convert to fraction form
    109.12/150.24 = 98.86/x
  3. Step 3: Cross multiply
    109.12x = 150.24 × 98.86
  4. Step 4: Simplify right side
    109.12x = 14,852.73
  5. Step 5: Solve for x
    x = 14,852.73/109.12
  6. Step 6: Final answer
    x = 136.11

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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.