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Finding the Fourth Proportional to 68,381.70, 102,562.29 and 21,628.50

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Solution

The fourth proportional to 68,381.70, 102,562.29 and 21,628.50 is: 32,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,381.70 : 102,562.29 = 21,628.50 : x
  2. Step 2: Convert to fraction form
    68,381.70/102,562.29 = 21,628.50/x
  3. Step 3: Cross multiply
    68,381.70x = 102,562.29 × 21,628.50
  4. Step 4: Simplify right side
    68,381.70x = 2,218,268,489.27
  5. Step 5: Solve for x
    x = 2,218,268,489.27/68,381.70
  6. Step 6: Final answer
    x = 32,439.50

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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.