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Finding the Fourth Proportional to 205,985, 308,979.36 and 81,326

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Solution

The fourth proportional to 205,985, 308,979.36 and 81,326 is: 121,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,985 : 308,979.36 = 81,326 : x
  2. Step 2: Convert to fraction form
    205,985/308,979.36 = 81,326/x
  3. Step 3: Cross multiply
    205,985x = 308,979.36 × 81,326
  4. Step 4: Simplify right side
    205,985x = 25,128,055,431.36
  5. Step 5: Solve for x
    x = 25,128,055,431.36/205,985
  6. Step 6: Final answer
    x = 121,989.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.