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Finding the Fourth Proportional to 218,096.78, 300,989.40 and 133,229.84

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Solution

The fourth proportional to 218,096.78, 300,989.40 and 133,229.84 is: 183,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,096.78 : 300,989.40 = 133,229.84 : x
  2. Step 2: Convert to fraction form
    218,096.78/300,989.40 = 133,229.84/x
  3. Step 3: Cross multiply
    218,096.78x = 300,989.40 × 133,229.84
  4. Step 4: Simplify right side
    218,096.78x = 40,100,769,603.70
  5. Step 5: Solve for x
    x = 40,100,769,603.70/218,096.78
  6. Step 6: Final answer
    x = 183,866.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.