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Finding the Fourth Proportional to 82,225, 123,356.94 and 26,821

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Solution

The fourth proportional to 82,225, 123,356.94 and 26,821 is: 40,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,225 : 123,356.94 = 26,821 : x
  2. Step 2: Convert to fraction form
    82,225/123,356.94 = 26,821/x
  3. Step 3: Cross multiply
    82,225x = 123,356.94 × 26,821
  4. Step 4: Simplify right side
    82,225x = 3,308,556,487.74
  5. Step 5: Solve for x
    x = 3,308,556,487.74/82,225
  6. Step 6: Final answer
    x = 40,237.84

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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.