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Finding the Fourth Proportional to 200,844.27, 300,864.77 and 120,838.11

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Solution

The fourth proportional to 200,844.27, 300,864.77 and 120,838.11 is: 181,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,844.27 : 300,864.77 = 120,838.11 : x
  2. Step 2: Convert to fraction form
    200,844.27/300,864.77 = 120,838.11/x
  3. Step 3: Cross multiply
    200,844.27x = 300,864.77 × 120,838.11
  4. Step 4: Simplify right side
    200,844.27x = 36,355,929,568.19
  5. Step 5: Solve for x
    x = 36,355,929,568.19/200,844.27
  6. Step 6: Final answer
    x = 181,015.52

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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.