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Finding the Fourth Proportional to 218,105.56, 300,990.42 and 133,269.40

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Solution

The fourth proportional to 218,105.56, 300,990.42 and 133,269.40 is: 183,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,105.56 : 300,990.42 = 133,269.40 : x
  2. Step 2: Convert to fraction form
    218,105.56/300,990.42 = 133,269.40/x
  3. Step 3: Cross multiply
    218,105.56x = 300,990.42 × 133,269.40
  4. Step 4: Simplify right side
    218,105.56x = 40,112,812,679.15
  5. Step 5: Solve for x
    x = 40,112,812,679.15/218,105.56
  6. Step 6: Final answer
    x = 183,914.67

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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.