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Finding the Fourth Proportional to 199,791.90, 299,729.77 and 57,636.90

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Solution

The fourth proportional to 199,791.90, 299,729.77 and 57,636.90 is: 86,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,791.90 : 299,729.77 = 57,636.90 : x
  2. Step 2: Convert to fraction form
    199,791.90/299,729.77 = 57,636.90/x
  3. Step 3: Cross multiply
    199,791.90x = 299,729.77 × 57,636.90
  4. Step 4: Simplify right side
    199,791.90x = 17,275,494,636.42
  5. Step 5: Solve for x
    x = 17,275,494,636.42/199,791.90
  6. Step 6: Final answer
    x = 86,467.44

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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.