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Finding the Fourth Proportional to 201,359.60, 302,136.60 and 142,067.60

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Solution

The fourth proportional to 201,359.60, 302,136.60 and 142,067.60 is: 213,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,359.60 : 302,136.60 = 142,067.60 : x
  2. Step 2: Convert to fraction form
    201,359.60/302,136.60 = 142,067.60/x
  3. Step 3: Cross multiply
    201,359.60x = 302,136.60 × 142,067.60
  4. Step 4: Simplify right side
    201,359.60x = 42,923,821,634.16
  5. Step 5: Solve for x
    x = 42,923,821,634.16/201,359.60
  6. Step 6: Final answer
    x = 213,169.98

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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.