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Finding the Fourth Proportional to 179,163.72, 268,735.86 and 54,495

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Solution

The fourth proportional to 179,163.72, 268,735.86 and 54,495 is: 81,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,163.72 : 268,735.86 = 54,495 : x
  2. Step 2: Convert to fraction form
    179,163.72/268,735.86 = 54,495/x
  3. Step 3: Cross multiply
    179,163.72x = 268,735.86 × 54,495
  4. Step 4: Simplify right side
    179,163.72x = 14,644,760,690.70
  5. Step 5: Solve for x
    x = 14,644,760,690.70/179,163.72
  6. Step 6: Final answer
    x = 81,739.54

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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.