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Finding the Fourth Proportional to 201,796.94, 278,188.88 and 141,179.78

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Solution

The fourth proportional to 201,796.94, 278,188.88 and 141,179.78 is: 194,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,796.94 : 278,188.88 = 141,179.78 : x
  2. Step 2: Convert to fraction form
    201,796.94/278,188.88 = 141,179.78/x
  3. Step 3: Cross multiply
    201,796.94x = 278,188.88 × 141,179.78
  4. Step 4: Simplify right side
    201,796.94x = 39,274,644,876.85
  5. Step 5: Solve for x
    x = 39,274,644,876.85/201,796.94
  6. Step 6: Final answer
    x = 194,624.58

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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.