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Finding the Fourth Proportional to 299,945.88, 449,753.58 and 100,161

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Solution

The fourth proportional to 299,945.88, 449,753.58 and 100,161 is: 150,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,945.88 : 449,753.58 = 100,161 : x
  2. Step 2: Convert to fraction form
    299,945.88/449,753.58 = 100,161/x
  3. Step 3: Cross multiply
    299,945.88x = 449,753.58 × 100,161
  4. Step 4: Simplify right side
    299,945.88x = 45,047,768,326.38
  5. Step 5: Solve for x
    x = 45,047,768,326.38/299,945.88
  6. Step 6: Final answer
    x = 150,186.32

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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.