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Finding the Fourth Proportional to 120.78, 181.23 and 75.24

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Solution

The fourth proportional to 120.78, 181.23 and 75.24 is: 112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 181.23 = 75.24 : x
  2. Step 2: Convert to fraction form
    120.78/181.23 = 75.24/x
  3. Step 3: Cross multiply
    120.78x = 181.23 × 75.24
  4. Step 4: Simplify right side
    120.78x = 13,635.75
  5. Step 5: Solve for x
    x = 13,635.75/120.78
  6. Step 6: Final answer
    x = 112.90

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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.