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Finding the Fourth Proportional to 57,993.78, 87,024.12 and 31,339.83

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Solution

The fourth proportional to 57,993.78, 87,024.12 and 31,339.83 is: 47,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,993.78 : 87,024.12 = 31,339.83 : x
  2. Step 2: Convert to fraction form
    57,993.78/87,024.12 = 31,339.83/x
  3. Step 3: Cross multiply
    57,993.78x = 87,024.12 × 31,339.83
  4. Step 4: Simplify right side
    57,993.78x = 2,727,321,126.70
  5. Step 5: Solve for x
    x = 2,727,321,126.70/57,993.78
  6. Step 6: Final answer
    x = 47,027.82

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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.