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Finding the Fourth Proportional to 57,832.78, 86,724.69 and 18,379.30

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Solution

The fourth proportional to 57,832.78, 86,724.69 and 18,379.30 is: 27,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832.78 : 86,724.69 = 18,379.30 : x
  2. Step 2: Convert to fraction form
    57,832.78/86,724.69 = 18,379.30/x
  3. Step 3: Cross multiply
    57,832.78x = 86,724.69 × 18,379.30
  4. Step 4: Simplify right side
    57,832.78x = 1,593,939,094.92
  5. Step 5: Solve for x
    x = 1,593,939,094.92/57,832.78
  6. Step 6: Final answer
    x = 27,561.17

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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.