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Finding the Fourth Proportional to 205,497, 308,245.50 and 57,753

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Solution

The fourth proportional to 205,497, 308,245.50 and 57,753 is: 86,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,497 : 308,245.50 = 57,753 : x
  2. Step 2: Convert to fraction form
    205,497/308,245.50 = 57,753/x
  3. Step 3: Cross multiply
    205,497x = 308,245.50 × 57,753
  4. Step 4: Simplify right side
    205,497x = 17,802,102,361.50
  5. Step 5: Solve for x
    x = 17,802,102,361.50/205,497
  6. Step 6: Final answer
    x = 86,629.50

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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.