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Finding the Fourth Proportional to 100,997.36, 139,370.09 and 55,673

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Solution

The fourth proportional to 100,997.36, 139,370.09 and 55,673 is: 76,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,997.36 : 139,370.09 = 55,673 : x
  2. Step 2: Convert to fraction form
    100,997.36/139,370.09 = 55,673/x
  3. Step 3: Cross multiply
    100,997.36x = 139,370.09 × 55,673
  4. Step 4: Simplify right side
    100,997.36x = 7,759,151,020.57
  5. Step 5: Solve for x
    x = 7,759,151,020.57/100,997.36
  6. Step 6: Final answer
    x = 76,825.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.