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Finding the Fourth Proportional to 71,785.98, 99,064.64 and 39,954.20

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Solution

The fourth proportional to 71,785.98, 99,064.64 and 39,954.20 is: 55,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,785.98 : 99,064.64 = 39,954.20 : x
  2. Step 2: Convert to fraction form
    71,785.98/99,064.64 = 39,954.20/x
  3. Step 3: Cross multiply
    71,785.98x = 99,064.64 × 39,954.20
  4. Step 4: Simplify right side
    71,785.98x = 3,958,048,044.05
  5. Step 5: Solve for x
    x = 3,958,048,044.05/71,785.98
  6. Step 6: Final answer
    x = 55,136.78

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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.