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Finding the Fourth Proportional to 100,534.37, 138,738.38 and 55,213.29

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Solution

The fourth proportional to 100,534.37, 138,738.38 and 55,213.29 is: 76,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,534.37 : 138,738.38 = 55,213.29 : x
  2. Step 2: Convert to fraction form
    100,534.37/138,738.38 = 55,213.29/x
  3. Step 3: Cross multiply
    100,534.37x = 138,738.38 × 55,213.29
  4. Step 4: Simplify right side
    100,534.37x = 7,660,202,133.00
  5. Step 5: Solve for x
    x = 7,660,202,133.00/100,534.37
  6. Step 6: Final answer
    x = 76,194.86

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1.5x scale

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.