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Finding the Fourth Proportional to 68,657.85, 102,997.88 and 21,261.80

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Solution

The fourth proportional to 68,657.85, 102,997.88 and 21,261.80 is: 31,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,657.85 : 102,997.88 = 21,261.80 : x
  2. Step 2: Convert to fraction form
    68,657.85/102,997.88 = 21,261.80/x
  3. Step 3: Cross multiply
    68,657.85x = 102,997.88 × 21,261.80
  4. Step 4: Simplify right side
    68,657.85x = 2,189,920,324.98
  5. Step 5: Solve for x
    x = 2,189,920,324.98/68,657.85
  6. Step 6: Final answer
    x = 31,896.14

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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.