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Finding the Fourth Proportional to 211,775, 292,249.50 and 122,351

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Solution

The fourth proportional to 211,775, 292,249.50 and 122,351 is: 168,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,775 : 292,249.50 = 122,351 : x
  2. Step 2: Convert to fraction form
    211,775/292,249.50 = 122,351/x
  3. Step 3: Cross multiply
    211,775x = 292,249.50 × 122,351
  4. Step 4: Simplify right side
    211,775x = 35,757,018,574.50
  5. Step 5: Solve for x
    x = 35,757,018,574.50/211,775
  6. Step 6: Final answer
    x = 168,844.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.