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Finding the Fourth Proportional to 208,109.67, 311,977.17 and 74,896.26

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Solution

The fourth proportional to 208,109.67, 311,977.17 and 74,896.26 is: 112,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,109.67 : 311,977.17 = 74,896.26 : x
  2. Step 2: Convert to fraction form
    208,109.67/311,977.17 = 74,896.26/x
  3. Step 3: Cross multiply
    208,109.67x = 311,977.17 × 74,896.26
  4. Step 4: Simplify right side
    208,109.67x = 23,365,923,238.38
  5. Step 5: Solve for x
    x = 23,365,923,238.38/208,109.67
  6. Step 6: Final answer
    x = 112,276.97

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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.