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Finding the Fourth Proportional to 201,908.70, 302,863.05 and 122,982.30

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Solution

The fourth proportional to 201,908.70, 302,863.05 and 122,982.30 is: 184,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908.70 : 302,863.05 = 122,982.30 : x
  2. Step 2: Convert to fraction form
    201,908.70/302,863.05 = 122,982.30/x
  3. Step 3: Cross multiply
    201,908.70x = 302,863.05 × 122,982.30
  4. Step 4: Simplify right side
    201,908.70x = 37,246,794,474.02
  5. Step 5: Solve for x
    x = 37,246,794,474.02/201,908.70
  6. Step 6: Final answer
    x = 184,473.45

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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.