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Finding the Fourth Proportional to 71,216.70, 106,833.24 and 31,768.86

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Solution

The fourth proportional to 71,216.70, 106,833.24 and 31,768.86 is: 47,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,216.70 : 106,833.24 = 31,768.86 : x
  2. Step 2: Convert to fraction form
    71,216.70/106,833.24 = 31,768.86/x
  3. Step 3: Cross multiply
    71,216.70x = 106,833.24 × 31,768.86
  4. Step 4: Simplify right side
    71,216.70x = 3,393,970,244.91
  5. Step 5: Solve for x
    x = 3,393,970,244.91/71,216.70
  6. Step 6: Final answer
    x = 47,656.94

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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.