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Finding the Fourth Proportional to 208,083.68, 312,171.96 and 81,736.16

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Solution

The fourth proportional to 208,083.68, 312,171.96 and 81,736.16 is: 122,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,083.68 : 312,171.96 = 81,736.16 : x
  2. Step 2: Convert to fraction form
    208,083.68/312,171.96 = 81,736.16/x
  3. Step 3: Cross multiply
    208,083.68x = 312,171.96 × 81,736.16
  4. Step 4: Simplify right side
    208,083.68x = 25,515,737,270.07
  5. Step 5: Solve for x
    x = 25,515,737,270.07/208,083.68
  6. Step 6: Final answer
    x = 122,622.48

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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.