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Finding the Fourth Proportional to 144,576.90, 199,516.10 and 80,914.70

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Solution

The fourth proportional to 144,576.90, 199,516.10 and 80,914.70 is: 111,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,576.90 : 199,516.10 = 80,914.70 : x
  2. Step 2: Convert to fraction form
    144,576.90/199,516.10 = 80,914.70/x
  3. Step 3: Cross multiply
    144,576.90x = 199,516.10 × 80,914.70
  4. Step 4: Simplify right side
    144,576.90x = 16,143,784,348.61
  5. Step 5: Solve for x
    x = 16,143,784,348.61/144,576.90
  6. Step 6: Final answer
    x = 111,662.27

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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.