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Finding the Fourth Proportional to 206,633.81, 309,950.73 and 81,974.81

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Solution

The fourth proportional to 206,633.81, 309,950.73 and 81,974.81 is: 122,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,633.81 : 309,950.73 = 81,974.81 : x
  2. Step 2: Convert to fraction form
    206,633.81/309,950.73 = 81,974.81/x
  3. Step 3: Cross multiply
    206,633.81x = 309,950.73 × 81,974.81
  4. Step 4: Simplify right side
    206,633.81x = 25,408,152,975.99
  5. Step 5: Solve for x
    x = 25,408,152,975.99/206,633.81
  6. Step 6: Final answer
    x = 122,962.22

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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.