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Finding the Fourth Proportional to 107.86, 147.87 and 105.91

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Solution

The fourth proportional to 107.86, 147.87 and 105.91 is: 145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.86 : 147.87 = 105.91 : x
  2. Step 2: Convert to fraction form
    107.86/147.87 = 105.91/x
  3. Step 3: Cross multiply
    107.86x = 147.87 × 105.91
  4. Step 4: Simplify right side
    107.86x = 15,660.91
  5. Step 5: Solve for x
    x = 15,660.91/107.86
  6. Step 6: Final answer
    x = 145.20

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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.