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Finding the Fourth Proportional to 68,081.78, 102,122.64 and 20,697.26

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Solution

The fourth proportional to 68,081.78, 102,122.64 and 20,697.26 is: 31,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,081.78 : 102,122.64 = 20,697.26 : x
  2. Step 2: Convert to fraction form
    68,081.78/102,122.64 = 20,697.26/x
  3. Step 3: Cross multiply
    68,081.78x = 102,122.64 × 20,697.26
  4. Step 4: Simplify right side
    68,081.78x = 2,113,658,321.35
  5. Step 5: Solve for x
    x = 2,113,658,321.35/68,081.78
  6. Step 6: Final answer
    x = 31,045.87

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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.