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Finding the Fourth Proportional to 120.83, 181.41 and 79.70

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Solution

The fourth proportional to 120.83, 181.41 and 79.70 is: 119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.83 : 181.41 = 79.70 : x
  2. Step 2: Convert to fraction form
    120.83/181.41 = 79.70/x
  3. Step 3: Cross multiply
    120.83x = 181.41 × 79.70
  4. Step 4: Simplify right side
    120.83x = 14,458.19
  5. Step 5: Solve for x
    x = 14,458.19/120.83
  6. Step 6: Final answer
    x = 119.66

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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.