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Finding the Fourth Proportional to 208,552.08, 312,850.02 and 68,321.64

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Solution

The fourth proportional to 208,552.08, 312,850.02 and 68,321.64 is: 102,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,552.08 : 312,850.02 = 68,321.64 : x
  2. Step 2: Convert to fraction form
    208,552.08/312,850.02 = 68,321.64/x
  3. Step 3: Cross multiply
    208,552.08x = 312,850.02 × 68,321.64
  4. Step 4: Simplify right side
    208,552.08x = 21,374,426,440.43
  5. Step 5: Solve for x
    x = 21,374,426,440.43/208,552.08
  6. Step 6: Final answer
    x = 102,489.63

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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.