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Finding the Fourth Proportional to 144,081.42, 198,834.41 and 80,419.22

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Solution

The fourth proportional to 144,081.42, 198,834.41 and 80,419.22 is: 110,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,081.42 : 198,834.41 = 80,419.22 : x
  2. Step 2: Convert to fraction form
    144,081.42/198,834.41 = 80,419.22/x
  3. Step 3: Cross multiply
    144,081.42x = 198,834.41 × 80,419.22
  4. Step 4: Simplify right side
    144,081.42x = 15,990,108,113.87
  5. Step 5: Solve for x
    x = 15,990,108,113.87/144,081.42
  6. Step 6: Final answer
    x = 110,979.67

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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.