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Finding the Fourth Proportional to 205,857, 284,090.34 and 116,431.08

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Solution

The fourth proportional to 205,857, 284,090.34 and 116,431.08 is: 160,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,857 : 284,090.34 = 116,431.08 : x
  2. Step 2: Convert to fraction form
    205,857/284,090.34 = 116,431.08/x
  3. Step 3: Cross multiply
    205,857x = 284,090.34 × 116,431.08
  4. Step 4: Simplify right side
    205,857x = 33,076,945,103.77
  5. Step 5: Solve for x
    x = 33,076,945,103.77/205,857
  6. Step 6: Final answer
    x = 160,679.23

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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.