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Finding the Fourth Proportional to 201,901.88, 278,636.79 and 111,257.69

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Solution

The fourth proportional to 201,901.88, 278,636.79 and 111,257.69 is: 153,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,901.88 : 278,636.79 = 111,257.69 : x
  2. Step 2: Convert to fraction form
    201,901.88/278,636.79 = 111,257.69/x
  3. Step 3: Cross multiply
    201,901.88x = 278,636.79 × 111,257.69
  4. Step 4: Simplify right side
    201,901.88x = 31,000,485,604.42
  5. Step 5: Solve for x
    x = 31,000,485,604.42/201,901.88
  6. Step 6: Final answer
    x = 153,542.33

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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.