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Finding the Fourth Proportional to 200,865.80, 301,493.10 and 122,133.80

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Solution

The fourth proportional to 200,865.80, 301,493.10 and 122,133.80 is: 183,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,865.80 : 301,493.10 = 122,133.80 : x
  2. Step 2: Convert to fraction form
    200,865.80/301,493.10 = 122,133.80/x
  3. Step 3: Cross multiply
    200,865.80x = 301,493.10 × 122,133.80
  4. Step 4: Simplify right side
    200,865.80x = 36,822,497,976.78
  5. Step 5: Solve for x
    x = 36,822,497,976.78/200,865.80
  6. Step 6: Final answer
    x = 183,318.90

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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.