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Finding the Fourth Proportional to 68,454.70, 102,685.72 and 21,711.22

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Solution

The fourth proportional to 68,454.70, 102,685.72 and 21,711.22 is: 32,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,454.70 : 102,685.72 = 21,711.22 : x
  2. Step 2: Convert to fraction form
    68,454.70/102,685.72 = 21,711.22/x
  3. Step 3: Cross multiply
    68,454.70x = 102,685.72 × 21,711.22
  4. Step 4: Simplify right side
    68,454.70x = 2,229,432,257.78
  5. Step 5: Solve for x
    x = 2,229,432,257.78/68,454.70
  6. Step 6: Final answer
    x = 32,567.99

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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.