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Finding the Fourth Proportional to 211,834, 292,356.86 and 122,410

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Solution

The fourth proportional to 211,834, 292,356.86 and 122,410 is: 168,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,834 : 292,356.86 = 122,410 : x
  2. Step 2: Convert to fraction form
    211,834/292,356.86 = 122,410/x
  3. Step 3: Cross multiply
    211,834x = 292,356.86 × 122,410
  4. Step 4: Simplify right side
    211,834x = 35,787,403,232.60
  5. Step 5: Solve for x
    x = 35,787,403,232.60/211,834
  6. Step 6: Final answer
    x = 168,940.79

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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.