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Finding the Fourth Proportional to 203,809.94, 305,436.92 and 77,382.48

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Solution

The fourth proportional to 203,809.94, 305,436.92 and 77,382.48 is: 115,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,809.94 : 305,436.92 = 77,382.48 : x
  2. Step 2: Convert to fraction form
    203,809.94/305,436.92 = 77,382.48/x
  3. Step 3: Cross multiply
    203,809.94x = 305,436.92 × 77,382.48
  4. Step 4: Simplify right side
    203,809.94x = 23,635,466,353.16
  5. Step 5: Solve for x
    x = 23,635,466,353.16/203,809.94
  6. Step 6: Final answer
    x = 115,968.17

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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.