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Finding the Fourth Proportional to 200,166.34, 300,249.71 and 81,837.68

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Solution

The fourth proportional to 200,166.34, 300,249.71 and 81,837.68 is: 122,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,166.34 : 300,249.71 = 81,837.68 : x
  2. Step 2: Convert to fraction form
    200,166.34/300,249.71 = 81,837.68/x
  3. Step 3: Cross multiply
    200,166.34x = 300,249.71 × 81,837.68
  4. Step 4: Simplify right side
    200,166.34x = 24,571,740,642.29
  5. Step 5: Solve for x
    x = 24,571,740,642.29/200,166.34
  6. Step 6: Final answer
    x = 122,756.61

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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.