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Finding the Fourth Proportional to 205,268.60, 308,219.70 and 111,956.60

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Solution

The fourth proportional to 205,268.60, 308,219.70 and 111,956.60 is: 168,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,268.60 : 308,219.70 = 111,956.60 : x
  2. Step 2: Convert to fraction form
    205,268.60/308,219.70 = 111,956.60/x
  3. Step 3: Cross multiply
    205,268.60x = 308,219.70 × 111,956.60
  4. Step 4: Simplify right side
    205,268.60x = 34,507,229,665.02
  5. Step 5: Solve for x
    x = 34,507,229,665.02/205,268.60
  6. Step 6: Final answer
    x = 168,107.69

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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.