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Finding the Fourth Proportional to 201,722.70, 302,584.05 and 131,738.70

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Solution

The fourth proportional to 201,722.70, 302,584.05 and 131,738.70 is: 197,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,722.70 : 302,584.05 = 131,738.70 : x
  2. Step 2: Convert to fraction form
    201,722.70/302,584.05 = 131,738.70/x
  3. Step 3: Cross multiply
    201,722.70x = 302,584.05 × 131,738.70
  4. Step 4: Simplify right side
    201,722.70x = 39,862,029,387.74
  5. Step 5: Solve for x
    x = 39,862,029,387.74/201,722.70
  6. Step 6: Final answer
    x = 197,608.05

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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.