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Finding the Fourth Proportional to 200,800.26, 277,102.72 and 108,919.32

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Solution

The fourth proportional to 200,800.26, 277,102.72 and 108,919.32 is: 150,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,800.26 : 277,102.72 = 108,919.32 : x
  2. Step 2: Convert to fraction form
    200,800.26/277,102.72 = 108,919.32/x
  3. Step 3: Cross multiply
    200,800.26x = 277,102.72 × 108,919.32
  4. Step 4: Simplify right side
    200,800.26x = 30,181,839,336.70
  5. Step 5: Solve for x
    x = 30,181,839,336.70/200,800.26
  6. Step 6: Final answer
    x = 150,307.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.