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Finding the Fourth Proportional to 68,540.20, 102,714.30 and 54,524.20

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Solution

The fourth proportional to 68,540.20, 102,714.30 and 54,524.20 is: 81,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,540.20 : 102,714.30 = 54,524.20 : x
  2. Step 2: Convert to fraction form
    68,540.20/102,714.30 = 54,524.20/x
  3. Step 3: Cross multiply
    68,540.20x = 102,714.30 × 54,524.20
  4. Step 4: Simplify right side
    68,540.20x = 5,600,415,036.06
  5. Step 5: Solve for x
    x = 5,600,415,036.06/68,540.20
  6. Step 6: Final answer
    x = 81,709.93

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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.