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Finding the Fourth Proportional to 127,227, 190,840.50 and 39,675

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Solution

The fourth proportional to 127,227, 190,840.50 and 39,675 is: 59,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,227 : 190,840.50 = 39,675 : x
  2. Step 2: Convert to fraction form
    127,227/190,840.50 = 39,675/x
  3. Step 3: Cross multiply
    127,227x = 190,840.50 × 39,675
  4. Step 4: Simplify right side
    127,227x = 7,571,596,837.50
  5. Step 5: Solve for x
    x = 7,571,596,837.50/127,227
  6. Step 6: Final answer
    x = 59,512.50

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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.