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Finding the Fourth Proportional to 205,995.24, 308,694.78 and 100,695.24

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Solution

The fourth proportional to 205,995.24, 308,694.78 and 100,695.24 is: 150,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,995.24 : 308,694.78 = 100,695.24 : x
  2. Step 2: Convert to fraction form
    205,995.24/308,694.78 = 100,695.24/x
  3. Step 3: Cross multiply
    205,995.24x = 308,694.78 × 100,695.24
  4. Step 4: Simplify right side
    205,995.24x = 31,084,094,958.85
  5. Step 5: Solve for x
    x = 31,084,094,958.85/205,995.24
  6. Step 6: Final answer
    x = 150,897.15

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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.