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Finding the Fourth Proportional to 206,646.30, 309,969.45 and 73,676.70

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Solution

The fourth proportional to 206,646.30, 309,969.45 and 73,676.70 is: 110,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,646.30 : 309,969.45 = 73,676.70 : x
  2. Step 2: Convert to fraction form
    206,646.30/309,969.45 = 73,676.70/x
  3. Step 3: Cross multiply
    206,646.30x = 309,969.45 × 73,676.70
  4. Step 4: Simplify right side
    206,646.30x = 22,837,526,176.82
  5. Step 5: Solve for x
    x = 22,837,526,176.82/206,646.30
  6. Step 6: Final answer
    x = 110,515.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.