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Finding the Fourth Proportional to 206,425.60, 284,889.60 and 116,992

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Solution

The fourth proportional to 206,425.60, 284,889.60 and 116,992 is: 161,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,425.60 : 284,889.60 = 116,992 : x
  2. Step 2: Convert to fraction form
    206,425.60/284,889.60 = 116,992/x
  3. Step 3: Cross multiply
    206,425.60x = 284,889.60 × 116,992
  4. Step 4: Simplify right side
    206,425.60x = 33,329,804,083.20
  5. Step 5: Solve for x
    x = 33,329,804,083.20/206,425.60
  6. Step 6: Final answer
    x = 161,461.58

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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.