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Finding the Fourth Proportional to 208,321.67, 312,418.01 and 75,185.07

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Solution

The fourth proportional to 208,321.67, 312,418.01 and 75,185.07 is: 112,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,321.67 : 312,418.01 = 75,185.07 : x
  2. Step 2: Convert to fraction form
    208,321.67/312,418.01 = 75,185.07/x
  3. Step 3: Cross multiply
    208,321.67x = 312,418.01 × 75,185.07
  4. Step 4: Simplify right side
    208,321.67x = 23,489,169,575.19
  5. Step 5: Solve for x
    x = 23,489,169,575.19/208,321.67
  6. Step 6: Final answer
    x = 112,754.33

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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.