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Finding the Fourth Proportional to 114,831, 172,249.72 and 31,725

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Solution

The fourth proportional to 114,831, 172,249.72 and 31,725 is: 47,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,831 : 172,249.72 = 31,725 : x
  2. Step 2: Convert to fraction form
    114,831/172,249.72 = 31,725/x
  3. Step 3: Cross multiply
    114,831x = 172,249.72 × 31,725
  4. Step 4: Simplify right side
    114,831x = 5,464,622,367
  5. Step 5: Solve for x
    x = 5,464,622,367/114,831
  6. Step 6: Final answer
    x = 47,588.39

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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.