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Finding the Fourth Proportional to 73,960.30, 110,879.70 and 31,872.70

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Solution

The fourth proportional to 73,960.30, 110,879.70 and 31,872.70 is: 47,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,960.30 : 110,879.70 = 31,872.70 : x
  2. Step 2: Convert to fraction form
    73,960.30/110,879.70 = 31,872.70/x
  3. Step 3: Cross multiply
    73,960.30x = 110,879.70 × 31,872.70
  4. Step 4: Simplify right side
    73,960.30x = 3,534,035,414.19
  5. Step 5: Solve for x
    x = 3,534,035,414.19/73,960.30
  6. Step 6: Final answer
    x = 47,782.87

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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.