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Finding the Fourth Proportional to 127,991.40, 192,083.10 and 65,629.80

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Solution

The fourth proportional to 127,991.40, 192,083.10 and 65,629.80 is: 98,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,991.40 : 192,083.10 = 65,629.80 : x
  2. Step 2: Convert to fraction form
    127,991.40/192,083.10 = 65,629.80/x
  3. Step 3: Cross multiply
    127,991.40x = 192,083.10 × 65,629.80
  4. Step 4: Simplify right side
    127,991.40x = 12,606,375,436.38
  5. Step 5: Solve for x
    x = 12,606,375,436.38/127,991.40
  6. Step 6: Final answer
    x = 98,493.93

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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.