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Finding the Fourth Proportional to 208,133.41, 312,200.13 and 50,361.87

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Solution

The fourth proportional to 208,133.41, 312,200.13 and 50,361.87 is: 75,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,133.41 : 312,200.13 = 50,361.87 : x
  2. Step 2: Convert to fraction form
    208,133.41/312,200.13 = 50,361.87/x
  3. Step 3: Cross multiply
    208,133.41x = 312,200.13 × 50,361.87
  4. Step 4: Simplify right side
    208,133.41x = 15,722,982,361.04
  5. Step 5: Solve for x
    x = 15,722,982,361.04/208,133.41
  6. Step 6: Final answer
    x = 75,542.81

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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.