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Finding the Fourth Proportional to 208,503.09, 312,813 and 82,065.33

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Solution

The fourth proportional to 208,503.09, 312,813 and 82,065.33 is: 123,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,503.09 : 312,813 = 82,065.33 : x
  2. Step 2: Convert to fraction form
    208,503.09/312,813 = 82,065.33/x
  3. Step 3: Cross multiply
    208,503.09x = 312,813 × 82,065.33
  4. Step 4: Simplify right side
    208,503.09x = 25,671,102,073.29
  5. Step 5: Solve for x
    x = 25,671,102,073.29/208,503.09
  6. Step 6: Final answer
    x = 123,120.97

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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.