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Finding the Fourth Proportional to 71,196.70, 106,779.21 and 20,584.68

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Solution

The fourth proportional to 71,196.70, 106,779.21 and 20,584.68 is: 30,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,196.70 : 106,779.21 = 20,584.68 : x
  2. Step 2: Convert to fraction form
    71,196.70/106,779.21 = 20,584.68/x
  3. Step 3: Cross multiply
    71,196.70x = 106,779.21 × 20,584.68
  4. Step 4: Simplify right side
    71,196.70x = 2,198,015,334.61
  5. Step 5: Solve for x
    x = 2,198,015,334.61/71,196.70
  6. Step 6: Final answer
    x = 30,872.43

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1.5x scale

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.