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Finding the Fourth Proportional to 201,380, 301,881.24 and 68,167.04

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Solution

The fourth proportional to 201,380, 301,881.24 and 68,167.04 is: 102,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,380 : 301,881.24 = 68,167.04 : x
  2. Step 2: Convert to fraction form
    201,380/301,881.24 = 68,167.04/x
  3. Step 3: Cross multiply
    201,380x = 301,881.24 × 68,167.04
  4. Step 4: Simplify right side
    201,380x = 20,578,350,562.33
  5. Step 5: Solve for x
    x = 20,578,350,562.33/201,380
  6. Step 6: Final answer
    x = 102,186.66

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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.