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Finding the Fourth Proportional to 57,102.30, 78,800.31 and 31,951.80

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Solution

The fourth proportional to 57,102.30, 78,800.31 and 31,951.80 is: 44,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.30 : 78,800.31 = 31,951.80 : x
  2. Step 2: Convert to fraction form
    57,102.30/78,800.31 = 31,951.80/x
  3. Step 3: Cross multiply
    57,102.30x = 78,800.31 × 31,951.80
  4. Step 4: Simplify right side
    57,102.30x = 2,517,811,745.06
  5. Step 5: Solve for x
    x = 2,517,811,745.06/57,102.30
  6. Step 6: Final answer
    x = 44,093.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.