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Finding the Fourth Proportional to 213,361.38, 319,817.43 and 71,168.58

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Solution

The fourth proportional to 213,361.38, 319,817.43 and 71,168.58 is: 106,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,361.38 : 319,817.43 = 71,168.58 : x
  2. Step 2: Convert to fraction form
    213,361.38/319,817.43 = 71,168.58/x
  3. Step 3: Cross multiply
    213,361.38x = 319,817.43 × 71,168.58
  4. Step 4: Simplify right side
    213,361.38x = 22,760,952,352.35
  5. Step 5: Solve for x
    x = 22,760,952,352.35/213,361.38
  6. Step 6: Final answer
    x = 106,677.94

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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.