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Finding the Fourth Proportional to 200,579.22, 301,056.75 and 105,879.69

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Solution

The fourth proportional to 200,579.22, 301,056.75 and 105,879.69 is: 158,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,579.22 : 301,056.75 = 105,879.69 : x
  2. Step 2: Convert to fraction form
    200,579.22/301,056.75 = 105,879.69/x
  3. Step 3: Cross multiply
    200,579.22x = 301,056.75 × 105,879.69
  4. Step 4: Simplify right side
    200,579.22x = 31,875,795,362.41
  5. Step 5: Solve for x
    x = 31,875,795,362.41/200,579.22
  6. Step 6: Final answer
    x = 158,918.73

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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.