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Finding the Fourth Proportional to 57,278.44, 85,865.80 and 20,333.80

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Solution

The fourth proportional to 57,278.44, 85,865.80 and 20,333.80 is: 30,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,278.44 : 85,865.80 = 20,333.80 : x
  2. Step 2: Convert to fraction form
    57,278.44/85,865.80 = 20,333.80/x
  3. Step 3: Cross multiply
    57,278.44x = 85,865.80 × 20,333.80
  4. Step 4: Simplify right side
    57,278.44x = 1,745,978,004.04
  5. Step 5: Solve for x
    x = 1,745,978,004.04/57,278.44
  6. Step 6: Final answer
    x = 30,482.29

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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.