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Finding the Fourth Proportional to 208,634.67, 312,813.75 and 75,497.61

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Solution

The fourth proportional to 208,634.67, 312,813.75 and 75,497.61 is: 113,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,634.67 : 312,813.75 = 75,497.61 : x
  2. Step 2: Convert to fraction form
    208,634.67/312,813.75 = 75,497.61/x
  3. Step 3: Cross multiply
    208,634.67x = 312,813.75 × 75,497.61
  4. Step 4: Simplify right side
    208,634.67x = 23,616,690,500.14
  5. Step 5: Solve for x
    x = 23,616,690,500.14/208,634.67
  6. Step 6: Final answer
    x = 113,196.39

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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.