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Finding the Fourth Proportional to 201,135.90, 301,266.45 and 122,112.30

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Solution

The fourth proportional to 201,135.90, 301,266.45 and 122,112.30 is: 182,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,135.90 : 301,266.45 = 122,112.30 : x
  2. Step 2: Convert to fraction form
    201,135.90/301,266.45 = 122,112.30/x
  3. Step 3: Cross multiply
    201,135.90x = 301,266.45 × 122,112.30
  4. Step 4: Simplify right side
    201,135.90x = 36,788,339,122.34
  5. Step 5: Solve for x
    x = 36,788,339,122.34/201,135.90
  6. Step 6: Final answer
    x = 182,902.90

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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.