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Finding the Fourth Proportional to 208,443.28, 312,662.62 and 50,671.88

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Solution

The fourth proportional to 208,443.28, 312,662.62 and 50,671.88 is: 76,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,443.28 : 312,662.62 = 50,671.88 : x
  2. Step 2: Convert to fraction form
    208,443.28/312,662.62 = 50,671.88/x
  3. Step 3: Cross multiply
    208,443.28x = 312,662.62 × 50,671.88
  4. Step 4: Simplify right side
    208,443.28x = 15,843,202,761.13
  5. Step 5: Solve for x
    x = 15,843,202,761.13/208,443.28
  6. Step 6: Final answer
    x = 76,007.26

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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.