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Finding the Fourth Proportional to 161,745.63, 242,662.11 and 49,422.78

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Solution

The fourth proportional to 161,745.63, 242,662.11 and 49,422.78 is: 74,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,745.63 : 242,662.11 = 49,422.78 : x
  2. Step 2: Convert to fraction form
    161,745.63/242,662.11 = 49,422.78/x
  3. Step 3: Cross multiply
    161,745.63x = 242,662.11 × 49,422.78
  4. Step 4: Simplify right side
    161,745.63x = 11,993,036,076.87
  5. Step 5: Solve for x
    x = 11,993,036,076.87/161,745.63
  6. Step 6: Final answer
    x = 74,147.51

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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.