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Finding the Fourth Proportional to 172,142.37, 258,192.99 and 45,791.87

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Solution

The fourth proportional to 172,142.37, 258,192.99 and 45,791.87 is: 68,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,142.37 : 258,192.99 = 45,791.87 : x
  2. Step 2: Convert to fraction form
    172,142.37/258,192.99 = 45,791.87/x
  3. Step 3: Cross multiply
    172,142.37x = 258,192.99 × 45,791.87
  4. Step 4: Simplify right side
    172,142.37x = 11,823,138,542.03
  5. Step 5: Solve for x
    x = 11,823,138,542.03/172,142.37
  6. Step 6: Final answer
    x = 68,682.33

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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.