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Finding the Fourth Proportional to 200,979.64, 301,365.78 and 82,628.92

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Solution

The fourth proportional to 200,979.64, 301,365.78 and 82,628.92 is: 123,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,979.64 : 301,365.78 = 82,628.92 : x
  2. Step 2: Convert to fraction form
    200,979.64/301,365.78 = 82,628.92/x
  3. Step 3: Cross multiply
    200,979.64x = 301,365.78 × 82,628.92
  4. Step 4: Simplify right side
    200,979.64x = 24,901,528,926.36
  5. Step 5: Solve for x
    x = 24,901,528,926.36/200,979.64
  6. Step 6: Final answer
    x = 123,900.75

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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.