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Finding the Fourth Proportional to 201,283.10, 301,961.10 and 101,191.40

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Solution

The fourth proportional to 201,283.10, 301,961.10 and 101,191.40 is: 151,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,283.10 : 301,961.10 = 101,191.40 : x
  2. Step 2: Convert to fraction form
    201,283.10/301,961.10 = 101,191.40/x
  3. Step 3: Cross multiply
    201,283.10x = 301,961.10 × 101,191.40
  4. Step 4: Simplify right side
    201,283.10x = 30,555,866,454.54
  5. Step 5: Solve for x
    x = 30,555,866,454.54/201,283.10
  6. Step 6: Final answer
    x = 151,805.42

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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.