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Finding the Fourth Proportional to 100,393.06, 138,542.63 and 55,071.41

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Solution

The fourth proportional to 100,393.06, 138,542.63 and 55,071.41 is: 75,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,393.06 : 138,542.63 = 55,071.41 : x
  2. Step 2: Convert to fraction form
    100,393.06/138,542.63 = 55,071.41/x
  3. Step 3: Cross multiply
    100,393.06x = 138,542.63 × 55,071.41
  4. Step 4: Simplify right side
    100,393.06x = 7,629,738,586.07
  5. Step 5: Solve for x
    x = 7,629,738,586.07/100,393.06
  6. Step 6: Final answer
    x = 75,998.67

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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.