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Finding the Fourth Proportional to 78,839, 118,188.16 and 28,907.44

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Solution

The fourth proportional to 78,839, 118,188.16 and 28,907.44 is: 43,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,839 : 118,188.16 = 28,907.44 : x
  2. Step 2: Convert to fraction form
    78,839/118,188.16 = 28,907.44/x
  3. Step 3: Cross multiply
    78,839x = 118,188.16 × 28,907.44
  4. Step 4: Simplify right side
    78,839x = 3,416,517,143.91
  5. Step 5: Solve for x
    x = 3,416,517,143.91/78,839
  6. Step 6: Final answer
    x = 43,335.37

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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.