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Finding the Fourth Proportional to 109.37, 149.86 and 107.93

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Solution

The fourth proportional to 109.37, 149.86 and 107.93 is: 147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.37 : 149.86 = 107.93 : x
  2. Step 2: Convert to fraction form
    109.37/149.86 = 107.93/x
  3. Step 3: Cross multiply
    109.37x = 149.86 × 107.93
  4. Step 4: Simplify right side
    109.37x = 16,173.10
  5. Step 5: Solve for x
    x = 16,173.10/109.37
  6. Step 6: Final answer
    x = 147.88

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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.