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Finding the Fourth Proportional to 205,519.20, 307,987.20 and 151,791.90

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Solution

The fourth proportional to 205,519.20, 307,987.20 and 151,791.90 is: 227,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,519.20 : 307,987.20 = 151,791.90 : x
  2. Step 2: Convert to fraction form
    205,519.20/307,987.20 = 151,791.90/x
  3. Step 3: Cross multiply
    205,519.20x = 307,987.20 × 151,791.90
  4. Step 4: Simplify right side
    205,519.20x = 46,749,962,263.68
  5. Step 5: Solve for x
    x = 46,749,962,263.68/205,519.20
  6. Step 6: Final answer
    x = 227,472.48

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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.