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Finding the Fourth Proportional to 205,983, 308,976.36 and 81,324

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Solution

The fourth proportional to 205,983, 308,976.36 and 81,324 is: 121,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,983 : 308,976.36 = 81,324 : x
  2. Step 2: Convert to fraction form
    205,983/308,976.36 = 81,324/x
  3. Step 3: Cross multiply
    205,983x = 308,976.36 × 81,324
  4. Step 4: Simplify right side
    205,983x = 25,127,193,500.64
  5. Step 5: Solve for x
    x = 25,127,193,500.64/205,983
  6. Step 6: Final answer
    x = 121,986.73

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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.