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Finding the Fourth Proportional to 201,098.90, 301,648.35 and 133,739.30

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Solution

The fourth proportional to 201,098.90, 301,648.35 and 133,739.30 is: 200,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,098.90 : 301,648.35 = 133,739.30 : x
  2. Step 2: Convert to fraction form
    201,098.90/301,648.35 = 133,739.30/x
  3. Step 3: Cross multiply
    201,098.90x = 301,648.35 × 133,739.30
  4. Step 4: Simplify right side
    201,098.90x = 40,342,239,175.16
  5. Step 5: Solve for x
    x = 40,342,239,175.16/201,098.90
  6. Step 6: Final answer
    x = 200,608.95

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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.