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Finding the Fourth Proportional to 201,261.10, 301,928.10 and 101,169.40

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Solution

The fourth proportional to 201,261.10, 301,928.10 and 101,169.40 is: 151,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,261.10 : 301,928.10 = 101,169.40 : x
  2. Step 2: Convert to fraction form
    201,261.10/301,928.10 = 101,169.40/x
  3. Step 3: Cross multiply
    201,261.10x = 301,928.10 × 101,169.40
  4. Step 4: Simplify right side
    201,261.10x = 30,545,884,720.14
  5. Step 5: Solve for x
    x = 30,545,884,720.14/201,261.10
  6. Step 6: Final answer
    x = 151,772.42

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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.