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Finding the Fourth Proportional to 200,100.12, 300,039.30 and 81,854.46

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Solution

The fourth proportional to 200,100.12, 300,039.30 and 81,854.46 is: 122,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,100.12 : 300,039.30 = 81,854.46 : x
  2. Step 2: Convert to fraction form
    200,100.12/300,039.30 = 81,854.46/x
  3. Step 3: Cross multiply
    200,100.12x = 300,039.30 × 81,854.46
  4. Step 4: Simplify right side
    200,100.12x = 24,559,554,880.28
  5. Step 5: Solve for x
    x = 24,559,554,880.28/200,100.12
  6. Step 6: Final answer
    x = 122,736.33

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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.