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Finding the Fourth Proportional to 208,578.44, 312,765.60 and 75,438.74

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Solution

The fourth proportional to 208,578.44, 312,765.60 and 75,438.74 is: 113,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,578.44 : 312,765.60 = 75,438.74 : x
  2. Step 2: Convert to fraction form
    208,578.44/312,765.60 = 75,438.74/x
  3. Step 3: Cross multiply
    208,578.44x = 312,765.60 × 75,438.74
  4. Step 4: Simplify right side
    208,578.44x = 23,594,643,844.15
  5. Step 5: Solve for x
    x = 23,594,643,844.15/208,578.44
  6. Step 6: Final answer
    x = 113,121.20

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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.