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Finding the Fourth Proportional to 201,796.28, 301,947 and 126,315

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Solution

The fourth proportional to 201,796.28, 301,947 and 126,315 is: 189,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,796.28 : 301,947 = 126,315 : x
  2. Step 2: Convert to fraction form
    201,796.28/301,947 = 126,315/x
  3. Step 3: Cross multiply
    201,796.28x = 301,947 × 126,315
  4. Step 4: Simplify right side
    201,796.28x = 38,140,435,305
  5. Step 5: Solve for x
    x = 38,140,435,305/201,796.28
  6. Step 6: Final answer
    x = 189,004.65

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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.