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Finding the Fourth Proportional to 57,120.80, 85,705.68 and 22,085

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Solution

The fourth proportional to 57,120.80, 85,705.68 and 22,085 is: 33,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,120.80 : 85,705.68 = 22,085 : x
  2. Step 2: Convert to fraction form
    57,120.80/85,705.68 = 22,085/x
  3. Step 3: Cross multiply
    57,120.80x = 85,705.68 × 22,085
  4. Step 4: Simplify right side
    57,120.80x = 1,892,809,942.80
  5. Step 5: Solve for x
    x = 1,892,809,942.80/57,120.80
  6. Step 6: Final answer
    x = 33,136.96

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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.