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Finding the Fourth Proportional to 100,213.68, 138,293.22 and 54,891.24

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Solution

The fourth proportional to 100,213.68, 138,293.22 and 54,891.24 is: 75,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,213.68 : 138,293.22 = 54,891.24 : x
  2. Step 2: Convert to fraction form
    100,213.68/138,293.22 = 54,891.24/x
  3. Step 3: Cross multiply
    100,213.68x = 138,293.22 × 54,891.24
  4. Step 4: Simplify right side
    100,213.68x = 7,591,086,329.39
  5. Step 5: Solve for x
    x = 7,591,086,329.39/100,213.68
  6. Step 6: Final answer
    x = 75,749.00

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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.