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Finding the Fourth Proportional to 199,622, 275,479.24 and 108,980.08

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Solution

The fourth proportional to 199,622, 275,479.24 and 108,980.08 is: 150,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,622 : 275,479.24 = 108,980.08 : x
  2. Step 2: Convert to fraction form
    199,622/275,479.24 = 108,980.08/x
  3. Step 3: Cross multiply
    199,622x = 275,479.24 × 108,980.08
  4. Step 4: Simplify right side
    199,622x = 30,021,749,613.54
  5. Step 5: Solve for x
    x = 30,021,749,613.54/199,622
  6. Step 6: Final answer
    x = 150,392.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.