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Finding the Fourth Proportional to 67,305.68, 100,972.92 and 20,562

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Solution

The fourth proportional to 67,305.68, 100,972.92 and 20,562 is: 30,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,305.68 : 100,972.92 = 20,562 : x
  2. Step 2: Convert to fraction form
    67,305.68/100,972.92 = 20,562/x
  3. Step 3: Cross multiply
    67,305.68x = 100,972.92 × 20,562
  4. Step 4: Simplify right side
    67,305.68x = 2,076,205,181.04
  5. Step 5: Solve for x
    x = 2,076,205,181.04/67,305.68
  6. Step 6: Final answer
    x = 30,847.40

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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.