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Finding the Fourth Proportional to 201,796.78, 301,947.76 and 126,315.49

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Solution

The fourth proportional to 201,796.78, 301,947.76 and 126,315.49 is: 189,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,796.78 : 301,947.76 = 126,315.49 : x
  2. Step 2: Convert to fraction form
    201,796.78/301,947.76 = 126,315.49/x
  3. Step 3: Cross multiply
    201,796.78x = 301,947.76 × 126,315.49
  4. Step 4: Simplify right side
    201,796.78x = 38,140,679,258.80
  5. Step 5: Solve for x
    x = 38,140,679,258.80/201,796.78
  6. Step 6: Final answer
    x = 189,005.39

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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.