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Finding the Fourth Proportional to 120.63, 180.63 and 91.77

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Solution

The fourth proportional to 120.63, 180.63 and 91.77 is: 137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.63 : 180.63 = 91.77 : x
  2. Step 2: Convert to fraction form
    120.63/180.63 = 91.77/x
  3. Step 3: Cross multiply
    120.63x = 180.63 × 91.77
  4. Step 4: Simplify right side
    120.63x = 16,576.42
  5. Step 5: Solve for x
    x = 16,576.42/120.63
  6. Step 6: Final answer
    x = 137.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.