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Finding the Fourth Proportional to 181,090.76, 271,660.91 and 68,782.77

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Solution

The fourth proportional to 181,090.76, 271,660.91 and 68,782.77 is: 103,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,090.76 : 271,660.91 = 68,782.77 : x
  2. Step 2: Convert to fraction form
    181,090.76/271,660.91 = 68,782.77/x
  3. Step 3: Cross multiply
    181,090.76x = 271,660.91 × 68,782.77
  4. Step 4: Simplify right side
    181,090.76x = 18,685,589,546.61
  5. Step 5: Solve for x
    x = 18,685,589,546.61/181,090.76
  6. Step 6: Final answer
    x = 103,183.56

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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.