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Finding the Fourth Proportional to 222,858, 307,548.90 and 122,256

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Solution

The fourth proportional to 222,858, 307,548.90 and 122,256 is: 168,715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,858 : 307,548.90 = 122,256 : x
  2. Step 2: Convert to fraction form
    222,858/307,548.90 = 122,256/x
  3. Step 3: Cross multiply
    222,858x = 307,548.90 × 122,256
  4. Step 4: Simplify right side
    222,858x = 37,599,698,318.40
  5. Step 5: Solve for x
    x = 37,599,698,318.40/222,858
  6. Step 6: Final answer
    x = 168,715.95

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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.