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Finding the Fourth Proportional to 71,758.54, 107,662.13 and 31,772.02

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Solution

The fourth proportional to 71,758.54, 107,662.13 and 31,772.02 is: 47,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,758.54 : 107,662.13 = 31,772.02 : x
  2. Step 2: Convert to fraction form
    71,758.54/107,662.13 = 31,772.02/x
  3. Step 3: Cross multiply
    71,758.54x = 107,662.13 × 31,772.02
  4. Step 4: Simplify right side
    71,758.54x = 3,420,642,929.12
  5. Step 5: Solve for x
    x = 3,420,642,929.12/71,758.54
  6. Step 6: Final answer
    x = 47,668.79

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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.