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Finding the Fourth Proportional to 208,604.16, 312,906.24 and 83,916

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Solution

The fourth proportional to 208,604.16, 312,906.24 and 83,916 is: 125,874

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,604.16 : 312,906.24 = 83,916 : x
  2. Step 2: Convert to fraction form
    208,604.16/312,906.24 = 83,916/x
  3. Step 3: Cross multiply
    208,604.16x = 312,906.24 × 83,916
  4. Step 4: Simplify right side
    208,604.16x = 26,257,840,035.84
  5. Step 5: Solve for x
    x = 26,257,840,035.84/208,604.16
  6. Step 6: Final answer
    x = 125,874

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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.