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Finding the Fourth Proportional to 200,535, 300,685.86 and 88,212.12

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Solution

The fourth proportional to 200,535, 300,685.86 and 88,212.12 is: 132,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,535 : 300,685.86 = 88,212.12 : x
  2. Step 2: Convert to fraction form
    200,535/300,685.86 = 88,212.12/x
  3. Step 3: Cross multiply
    200,535x = 300,685.86 × 88,212.12
  4. Step 4: Simplify right side
    200,535x = 26,524,137,164.62
  5. Step 5: Solve for x
    x = 26,524,137,164.62/200,535
  6. Step 6: Final answer
    x = 132,266.87

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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.