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Finding the Fourth Proportional to 68,174.76, 102,126 and 54,158.52

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Solution

The fourth proportional to 68,174.76, 102,126 and 54,158.52 is: 81,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,174.76 : 102,126 = 54,158.52 : x
  2. Step 2: Convert to fraction form
    68,174.76/102,126 = 54,158.52/x
  3. Step 3: Cross multiply
    68,174.76x = 102,126 × 54,158.52
  4. Step 4: Simplify right side
    68,174.76x = 5,530,993,013.52
  5. Step 5: Solve for x
    x = 5,530,993,013.52/68,174.76
  6. Step 6: Final answer
    x = 81,129.63

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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.