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Finding the Fourth Proportional to 100,998.36, 139,371.46 and 55,674

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Solution

The fourth proportional to 100,998.36, 139,371.46 and 55,674 is: 76,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,998.36 : 139,371.46 = 55,674 : x
  2. Step 2: Convert to fraction form
    100,998.36/139,371.46 = 55,674/x
  3. Step 3: Cross multiply
    100,998.36x = 139,371.46 × 55,674
  4. Step 4: Simplify right side
    100,998.36x = 7,759,366,664.04
  5. Step 5: Solve for x
    x = 7,759,366,664.04/100,998.36
  6. Step 6: Final answer
    x = 76,826.66

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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.