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Finding the Fourth Proportional to 200,129.28, 300,194.42 and 81,800.60

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Solution

The fourth proportional to 200,129.28, 300,194.42 and 81,800.60 is: 122,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,129.28 : 300,194.42 = 81,800.60 : x
  2. Step 2: Convert to fraction form
    200,129.28/300,194.42 = 81,800.60/x
  3. Step 3: Cross multiply
    200,129.28x = 300,194.42 × 81,800.60
  4. Step 4: Simplify right side
    200,129.28x = 24,556,083,672.65
  5. Step 5: Solve for x
    x = 24,556,083,672.65/200,129.28
  6. Step 6: Final answer
    x = 122,701.10

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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.