Home / 205,997.31-284,284.38-115,352.47

Finding the Fourth Proportional to 205,997.31, 284,284.38 and 115,352.47

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Solution

The fourth proportional to 205,997.31, 284,284.38 and 115,352.47 is: 159,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,997.31 : 284,284.38 = 115,352.47 : x
  2. Step 2: Convert to fraction form
    205,997.31/284,284.38 = 115,352.47/x
  3. Step 3: Cross multiply
    205,997.31x = 284,284.38 × 115,352.47
  4. Step 4: Simplify right side
    205,997.31x = 32,792,906,203.35
  5. Step 5: Solve for x
    x = 32,792,906,203.35/205,997.31
  6. Step 6: Final answer
    x = 159,190.94

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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.