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Finding the Fourth Proportional to 68,714.46, 103,086.39 and 21,328.52

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Solution

The fourth proportional to 68,714.46, 103,086.39 and 21,328.52 is: 31,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,714.46 : 103,086.39 = 21,328.52 : x
  2. Step 2: Convert to fraction form
    68,714.46/103,086.39 = 21,328.52/x
  3. Step 3: Cross multiply
    68,714.46x = 103,086.39 × 21,328.52
  4. Step 4: Simplify right side
    68,714.46x = 2,198,679,615.41
  5. Step 5: Solve for x
    x = 2,198,679,615.41/68,714.46
  6. Step 6: Final answer
    x = 31,997.34

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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.