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Finding the Fourth Proportional to 205,296.90, 307,953.98 and 100,204.26

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Solution

The fourth proportional to 205,296.90, 307,953.98 and 100,204.26 is: 150,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,296.90 : 307,953.98 = 100,204.26 : x
  2. Step 2: Convert to fraction form
    205,296.90/307,953.98 = 100,204.26/x
  3. Step 3: Cross multiply
    205,296.90x = 307,953.98 × 100,204.26
  4. Step 4: Simplify right side
    205,296.90x = 30,858,300,679.95
  5. Step 5: Solve for x
    x = 30,858,300,679.95/205,296.90
  6. Step 6: Final answer
    x = 150,310.60

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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.