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Finding the Fourth Proportional to 57,079.63, 85,644.06 and 30,778.30

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Solution

The fourth proportional to 57,079.63, 85,644.06 and 30,778.30 is: 46,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,079.63 : 85,644.06 = 30,778.30 : x
  2. Step 2: Convert to fraction form
    57,079.63/85,644.06 = 30,778.30/x
  3. Step 3: Cross multiply
    57,079.63x = 85,644.06 × 30,778.30
  4. Step 4: Simplify right side
    57,079.63x = 2,635,978,571.90
  5. Step 5: Solve for x
    x = 2,635,978,571.90/57,079.63
  6. Step 6: Final answer
    x = 46,180.72

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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.