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Finding the Fourth Proportional to 51,647, 71,285.02 and 31,520.52

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Solution

The fourth proportional to 51,647, 71,285.02 and 31,520.52 is: 43,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,647 : 71,285.02 = 31,520.52 : x
  2. Step 2: Convert to fraction form
    51,647/71,285.02 = 31,520.52/x
  3. Step 3: Cross multiply
    51,647x = 71,285.02 × 31,520.52
  4. Step 4: Simplify right side
    51,647x = 2,246,940,898.61
  5. Step 5: Solve for x
    x = 2,246,940,898.61/51,647
  6. Step 6: Final answer
    x = 43,505.74

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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.