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Finding the Fourth Proportional to 57,142.44, 85,712.75 and 15,589.44

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Solution

The fourth proportional to 57,142.44, 85,712.75 and 15,589.44 is: 23,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,142.44 : 85,712.75 = 15,589.44 : x
  2. Step 2: Convert to fraction form
    57,142.44/85,712.75 = 15,589.44/x
  3. Step 3: Cross multiply
    57,142.44x = 85,712.75 × 15,589.44
  4. Step 4: Simplify right side
    57,142.44x = 1,336,213,695.41
  5. Step 5: Solve for x
    x = 1,336,213,695.41/57,142.44
  6. Step 6: Final answer
    x = 23,383.91

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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.