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Finding the Fourth Proportional to 201,908.20, 302,576.56 and 111,990.52

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Solution

The fourth proportional to 201,908.20, 302,576.56 and 111,990.52 is: 167,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908.20 : 302,576.56 = 111,990.52 : x
  2. Step 2: Convert to fraction form
    201,908.20/302,576.56 = 111,990.52/x
  3. Step 3: Cross multiply
    201,908.20x = 302,576.56 × 111,990.52
  4. Step 4: Simplify right side
    201,908.20x = 33,885,706,294.21
  5. Step 5: Solve for x
    x = 33,885,706,294.21/201,908.20
  6. Step 6: Final answer
    x = 167,827.29

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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.