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Finding the Fourth Proportional to 201,412.20, 302,108.70 and 68,279.40

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Solution

The fourth proportional to 201,412.20, 302,108.70 and 68,279.40 is: 102,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,412.20 : 302,108.70 = 68,279.40 : x
  2. Step 2: Convert to fraction form
    201,412.20/302,108.70 = 68,279.40/x
  3. Step 3: Cross multiply
    201,412.20x = 302,108.70 × 68,279.40
  4. Step 4: Simplify right side
    201,412.20x = 20,627,800,770.78
  5. Step 5: Solve for x
    x = 20,627,800,770.78/201,412.20
  6. Step 6: Final answer
    x = 102,415.85

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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.