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Finding the Fourth Proportional to 205,976, 308,965.90 and 81,317

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Solution

The fourth proportional to 205,976, 308,965.90 and 81,317 is: 121,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,976 : 308,965.90 = 81,317 : x
  2. Step 2: Convert to fraction form
    205,976/308,965.90 = 81,317/x
  3. Step 3: Cross multiply
    205,976x = 308,965.90 × 81,317
  4. Step 4: Simplify right side
    205,976x = 25,124,180,090.30
  5. Step 5: Solve for x
    x = 25,124,180,090.30/205,976
  6. Step 6: Final answer
    x = 121,976.25

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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.