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Finding the Fourth Proportional to 200,171.70, 300,257.74 and 81,843.04

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Solution

The fourth proportional to 200,171.70, 300,257.74 and 81,843.04 is: 122,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,171.70 : 300,257.74 = 81,843.04 : x
  2. Step 2: Convert to fraction form
    200,171.70/300,257.74 = 81,843.04/x
  3. Step 3: Cross multiply
    200,171.70x = 300,257.74 × 81,843.04
  4. Step 4: Simplify right side
    200,171.70x = 24,574,006,225.13
  5. Step 5: Solve for x
    x = 24,574,006,225.13/200,171.70
  6. Step 6: Final answer
    x = 122,764.64

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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.