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Finding the Fourth Proportional to 208,591.70, 312,701.90 and 75,442.37

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Solution

The fourth proportional to 208,591.70, 312,701.90 and 75,442.37 is: 113,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,591.70 : 312,701.90 = 75,442.37 : x
  2. Step 2: Convert to fraction form
    208,591.70/312,701.90 = 75,442.37/x
  3. Step 3: Cross multiply
    208,591.70x = 312,701.90 × 75,442.37
  4. Step 4: Simplify right side
    208,591.70x = 23,590,972,844.05
  5. Step 5: Solve for x
    x = 23,590,972,844.05/208,591.70
  6. Step 6: Final answer
    x = 113,096.41

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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.