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Finding the Fourth Proportional to 68,359.77, 102,543.30 and 21,609

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Solution

The fourth proportional to 68,359.77, 102,543.30 and 21,609 is: 32,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,359.77 : 102,543.30 = 21,609 : x
  2. Step 2: Convert to fraction form
    68,359.77/102,543.30 = 21,609/x
  3. Step 3: Cross multiply
    68,359.77x = 102,543.30 × 21,609
  4. Step 4: Simplify right side
    68,359.77x = 2,215,858,169.70
  5. Step 5: Solve for x
    x = 2,215,858,169.70/68,359.77
  6. Step 6: Final answer
    x = 32,414.65

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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.