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Finding the Fourth Proportional to 127,243.20, 190,951.20 and 71,083.20

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Solution

The fourth proportional to 127,243.20, 190,951.20 and 71,083.20 is: 106,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,243.20 : 190,951.20 = 71,083.20 : x
  2. Step 2: Convert to fraction form
    127,243.20/190,951.20 = 71,083.20/x
  3. Step 3: Cross multiply
    127,243.20x = 190,951.20 × 71,083.20
  4. Step 4: Simplify right side
    127,243.20x = 13,573,422,339.84
  5. Step 5: Solve for x
    x = 13,573,422,339.84/127,243.20
  6. Step 6: Final answer
    x = 106,673.07

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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.