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Finding the Fourth Proportional to 205,914.88, 308,895.36 and 65,640.96

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Solution

The fourth proportional to 205,914.88, 308,895.36 and 65,640.96 is: 98,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,914.88 : 308,895.36 = 65,640.96 : x
  2. Step 2: Convert to fraction form
    205,914.88/308,895.36 = 65,640.96/x
  3. Step 3: Cross multiply
    205,914.88x = 308,895.36 × 65,640.96
  4. Step 4: Simplify right side
    205,914.88x = 20,276,187,969.95
  5. Step 5: Solve for x
    x = 20,276,187,969.95/205,914.88
  6. Step 6: Final answer
    x = 98,468.78

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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.