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Finding the Fourth Proportional to 206,692.20, 309,965.40 and 73,576.80

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Solution

The fourth proportional to 206,692.20, 309,965.40 and 73,576.80 is: 110,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,692.20 : 309,965.40 = 73,576.80 : x
  2. Step 2: Convert to fraction form
    206,692.20/309,965.40 = 73,576.80/x
  3. Step 3: Cross multiply
    206,692.20x = 309,965.40 × 73,576.80
  4. Step 4: Simplify right side
    206,692.20x = 22,806,262,242.72
  5. Step 5: Solve for x
    x = 22,806,262,242.72/206,692.20
  6. Step 6: Final answer
    x = 110,339.25

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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.