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Finding the Fourth Proportional to 200,205.30, 300,166.18 and 100,294.22

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Solution

The fourth proportional to 200,205.30, 300,166.18 and 100,294.22 is: 150,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,205.30 : 300,166.18 = 100,294.22 : x
  2. Step 2: Convert to fraction form
    200,205.30/300,166.18 = 100,294.22/x
  3. Step 3: Cross multiply
    200,205.30x = 300,166.18 × 100,294.22
  4. Step 4: Simplify right side
    200,205.30x = 30,104,932,893.48
  5. Step 5: Solve for x
    x = 30,104,932,893.48/200,205.30
  6. Step 6: Final answer
    x = 150,370.31

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1.5x scale

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.