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Finding the Fourth Proportional to 205,806.39, 308,765 and 105,912.15

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Solution

The fourth proportional to 205,806.39, 308,765 and 105,912.15 is: 158,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,806.39 : 308,765 = 105,912.15 : x
  2. Step 2: Convert to fraction form
    205,806.39/308,765 = 105,912.15/x
  3. Step 3: Cross multiply
    205,806.39x = 308,765 × 105,912.15
  4. Step 4: Simplify right side
    205,806.39x = 32,701,964,994.75
  5. Step 5: Solve for x
    x = 32,701,964,994.75/205,806.39
  6. Step 6: Final answer
    x = 158,896.74

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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.