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Finding the Fourth Proportional to 109.07, 149.54 and 107.12

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Solution

The fourth proportional to 109.07, 149.54 and 107.12 is: 146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.07 : 149.54 = 107.12 : x
  2. Step 2: Convert to fraction form
    109.07/149.54 = 107.12/x
  3. Step 3: Cross multiply
    109.07x = 149.54 × 107.12
  4. Step 4: Simplify right side
    109.07x = 16,017.82
  5. Step 5: Solve for x
    x = 16,017.82/109.07
  6. Step 6: Final answer
    x = 146.86

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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.