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Finding the Fourth Proportional to 201,098.46, 301,648.56 and 67,979.40

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Solution

The fourth proportional to 201,098.46, 301,648.56 and 67,979.40 is: 101,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,098.46 : 301,648.56 = 67,979.40 : x
  2. Step 2: Convert to fraction form
    201,098.46/301,648.56 = 67,979.40/x
  3. Step 3: Cross multiply
    201,098.46x = 301,648.56 × 67,979.40
  4. Step 4: Simplify right side
    201,098.46x = 20,505,888,119.66
  5. Step 5: Solve for x
    x = 20,505,888,119.66/201,098.46
  6. Step 6: Final answer
    x = 101,969.39

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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.