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Finding the Fourth Proportional to 205,753.24, 308,654.52 and 72,605.98

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Solution

The fourth proportional to 205,753.24, 308,654.52 and 72,605.98 is: 108,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,753.24 : 308,654.52 = 72,605.98 : x
  2. Step 2: Convert to fraction form
    205,753.24/308,654.52 = 72,605.98/x
  3. Step 3: Cross multiply
    205,753.24x = 308,654.52 × 72,605.98
  4. Step 4: Simplify right side
    205,753.24x = 22,410,163,906.03
  5. Step 5: Solve for x
    x = 22,410,163,906.03/205,753.24
  6. Step 6: Final answer
    x = 108,917.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.