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Finding the Fourth Proportional to 181,728.96, 272,647.44 and 81,919.68

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Solution

The fourth proportional to 181,728.96, 272,647.44 and 81,919.68 is: 122,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,728.96 : 272,647.44 = 81,919.68 : x
  2. Step 2: Convert to fraction form
    181,728.96/272,647.44 = 81,919.68/x
  3. Step 3: Cross multiply
    181,728.96x = 272,647.44 × 81,919.68
  4. Step 4: Simplify right side
    181,728.96x = 22,335,191,037.62
  5. Step 5: Solve for x
    x = 22,335,191,037.62/181,728.96
  6. Step 6: Final answer
    x = 122,903.86

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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.