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Finding the Fourth Proportional to 120.72, 181.01 and 39.54

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Solution

The fourth proportional to 120.72, 181.01 and 39.54 is: 59.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.72 : 181.01 = 39.54 : x
  2. Step 2: Convert to fraction form
    120.72/181.01 = 39.54/x
  3. Step 3: Cross multiply
    120.72x = 181.01 × 39.54
  4. Step 4: Simplify right side
    120.72x = 7,156.03
  5. Step 5: Solve for x
    x = 7,156.03/120.72
  6. Step 6: Final answer
    x = 59.28

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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.