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Finding the Fourth Proportional to 200,727.68, 301,091.64 and 50,979.20

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Solution

The fourth proportional to 200,727.68, 301,091.64 and 50,979.20 is: 76,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,727.68 : 301,091.64 = 50,979.20 : x
  2. Step 2: Convert to fraction form
    200,727.68/301,091.64 = 50,979.20/x
  3. Step 3: Cross multiply
    200,727.68x = 301,091.64 × 50,979.20
  4. Step 4: Simplify right side
    200,727.68x = 15,349,410,933.89
  5. Step 5: Solve for x
    x = 15,349,410,933.89/200,727.68
  6. Step 6: Final answer
    x = 76,468.83

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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.