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Finding the Fourth Proportional to 71,917, 107,896.74 and 36,881.20

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Solution

The fourth proportional to 71,917, 107,896.74 and 36,881.20 is: 55,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,917 : 107,896.74 = 36,881.20 : x
  2. Step 2: Convert to fraction form
    71,917/107,896.74 = 36,881.20/x
  3. Step 3: Cross multiply
    71,917x = 107,896.74 × 36,881.20
  4. Step 4: Simplify right side
    71,917x = 3,979,361,247.29
  5. Step 5: Solve for x
    x = 3,979,361,247.29/71,917
  6. Step 6: Final answer
    x = 55,332.69

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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.