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Finding the Fourth Proportional to 199,556.74, 299,324.16 and 120,649.78

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Solution

The fourth proportional to 199,556.74, 299,324.16 and 120,649.78 is: 180,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,556.74 : 299,324.16 = 120,649.78 : x
  2. Step 2: Convert to fraction form
    199,556.74/299,324.16 = 120,649.78/x
  3. Step 3: Cross multiply
    199,556.74x = 299,324.16 × 120,649.78
  4. Step 4: Simplify right side
    199,556.74x = 36,113,394,052.68
  5. Step 5: Solve for x
    x = 36,113,394,052.68/199,556.74
  6. Step 6: Final answer
    x = 180,968.05

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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.