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Finding the Fourth Proportional to 208,562.70, 312,840.81 and 50,789.82

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Solution

The fourth proportional to 208,562.70, 312,840.81 and 50,789.82 is: 76,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,562.70 : 312,840.81 = 50,789.82 : x
  2. Step 2: Convert to fraction form
    208,562.70/312,840.81 = 50,789.82/x
  3. Step 3: Cross multiply
    208,562.70x = 312,840.81 × 50,789.82
  4. Step 4: Simplify right side
    208,562.70x = 15,889,128,428.55
  5. Step 5: Solve for x
    x = 15,889,128,428.55/208,562.70
  6. Step 6: Final answer
    x = 76,183.94

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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.