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Finding the Fourth Proportional to 127,013.78, 190,608.15 and 43,907.78

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Solution

The fourth proportional to 127,013.78, 190,608.15 and 43,907.78 is: 65,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,013.78 : 190,608.15 = 43,907.78 : x
  2. Step 2: Convert to fraction form
    127,013.78/190,608.15 = 43,907.78/x
  3. Step 3: Cross multiply
    127,013.78x = 190,608.15 × 43,907.78
  4. Step 4: Simplify right side
    127,013.78x = 8,369,180,716.41
  5. Step 5: Solve for x
    x = 8,369,180,716.41/127,013.78
  6. Step 6: Final answer
    x = 65,891.91

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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.