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Finding the Fourth Proportional to 120.86, 180.52 and 107.99

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Solution

The fourth proportional to 120.86, 180.52 and 107.99 is: 161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.86 : 180.52 = 107.99 : x
  2. Step 2: Convert to fraction form
    120.86/180.52 = 107.99/x
  3. Step 3: Cross multiply
    120.86x = 180.52 × 107.99
  4. Step 4: Simplify right side
    120.86x = 19,494.35
  5. Step 5: Solve for x
    x = 19,494.35/120.86
  6. Step 6: Final answer
    x = 161.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.