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Finding the Fourth Proportional to 208,261.49, 312,392.24 and 50,489.94

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Solution

The fourth proportional to 208,261.49, 312,392.24 and 50,489.94 is: 75,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,261.49 : 312,392.24 = 50,489.94 : x
  2. Step 2: Convert to fraction form
    208,261.49/312,392.24 = 50,489.94/x
  3. Step 3: Cross multiply
    208,261.49x = 312,392.24 × 50,489.94
  4. Step 4: Simplify right side
    208,261.49x = 15,772,665,201.62
  5. Step 5: Solve for x
    x = 15,772,665,201.62/208,261.49
  6. Step 6: Final answer
    x = 75,734.91

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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.