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Finding the Fourth Proportional to 120.87, 165.60 and 117.90

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Solution

The fourth proportional to 120.87, 165.60 and 117.90 is: 161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.87 : 165.60 = 117.90 : x
  2. Step 2: Convert to fraction form
    120.87/165.60 = 117.90/x
  3. Step 3: Cross multiply
    120.87x = 165.60 × 117.90
  4. Step 4: Simplify right side
    120.87x = 19,524.24
  5. Step 5: Solve for x
    x = 19,524.24/120.87
  6. Step 6: Final answer
    x = 161.53

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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.