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Finding the Fourth Proportional to 200,757.70, 301,138.19 and 65,819.80

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Solution

The fourth proportional to 200,757.70, 301,138.19 and 65,819.80 is: 98,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,757.70 : 301,138.19 = 65,819.80 : x
  2. Step 2: Convert to fraction form
    200,757.70/301,138.19 = 65,819.80/x
  3. Step 3: Cross multiply
    200,757.70x = 301,138.19 × 65,819.80
  4. Step 4: Simplify right side
    200,757.70x = 19,820,853,603.37
  5. Step 5: Solve for x
    x = 19,820,853,603.37/200,757.70
  6. Step 6: Final answer
    x = 98,730.23

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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.