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Finding the Fourth Proportional to 68,624.56, 102,952.02 and 21,877.42

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Solution

The fourth proportional to 68,624.56, 102,952.02 and 21,877.42 is: 32,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,624.56 : 102,952.02 = 21,877.42 : x
  2. Step 2: Convert to fraction form
    68,624.56/102,952.02 = 21,877.42/x
  3. Step 3: Cross multiply
    68,624.56x = 102,952.02 × 21,877.42
  4. Step 4: Simplify right side
    68,624.56x = 2,252,324,581.39
  5. Step 5: Solve for x
    x = 2,252,324,581.39/68,624.56
  6. Step 6: Final answer
    x = 32,820.97

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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.