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Finding the Fourth Proportional to 120.78, 181.35 and 96.66

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Solution

The fourth proportional to 120.78, 181.35 and 96.66 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 181.35 = 96.66 : x
  2. Step 2: Convert to fraction form
    120.78/181.35 = 96.66/x
  3. Step 3: Cross multiply
    120.78x = 181.35 × 96.66
  4. Step 4: Simplify right side
    120.78x = 17,529.29
  5. Step 5: Solve for x
    x = 17,529.29/120.78
  6. Step 6: Final answer
    x = 145.13

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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.