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Finding the Fourth Proportional to 142,067.92, 213,136.60 and 47,297.92

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Solution

The fourth proportional to 142,067.92, 213,136.60 and 47,297.92 is: 70,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,067.92 : 213,136.60 = 47,297.92 : x
  2. Step 2: Convert to fraction form
    142,067.92/213,136.60 = 47,297.92/x
  3. Step 3: Cross multiply
    142,067.92x = 213,136.60 × 47,297.92
  4. Step 4: Simplify right side
    142,067.92x = 10,080,917,855.87
  5. Step 5: Solve for x
    x = 10,080,917,855.87/142,067.92
  6. Step 6: Final answer
    x = 70,958.44

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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.