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Finding the Fourth Proportional to 181,959.90, 272,976.69 and 76,778.70

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Solution

The fourth proportional to 181,959.90, 272,976.69 and 76,778.70 is: 115,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,959.90 : 272,976.69 = 76,778.70 : x
  2. Step 2: Convert to fraction form
    181,959.90/272,976.69 = 76,778.70/x
  3. Step 3: Cross multiply
    181,959.90x = 272,976.69 × 76,778.70
  4. Step 4: Simplify right side
    181,959.90x = 20,958,795,388.50
  5. Step 5: Solve for x
    x = 20,958,795,388.50/181,959.90
  6. Step 6: Final answer
    x = 115,183.59

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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.