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Finding the Fourth Proportional to 200,403.69, 300,144.22 and 115,954.40

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Solution

The fourth proportional to 200,403.69, 300,144.22 and 115,954.40 is: 173,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,403.69 : 300,144.22 = 115,954.40 : x
  2. Step 2: Convert to fraction form
    200,403.69/300,144.22 = 115,954.40/x
  3. Step 3: Cross multiply
    200,403.69x = 300,144.22 × 115,954.40
  4. Step 4: Simplify right side
    200,403.69x = 34,803,042,626.99
  5. Step 5: Solve for x
    x = 34,803,042,626.99/200,403.69
  6. Step 6: Final answer
    x = 173,664.68

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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.