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Finding the Fourth Proportional to 100,216.98, 138,301.22 and 54,894.24

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Solution

The fourth proportional to 100,216.98, 138,301.22 and 54,894.24 is: 75,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,216.98 : 138,301.22 = 54,894.24 : x
  2. Step 2: Convert to fraction form
    100,216.98/138,301.22 = 54,894.24/x
  3. Step 3: Cross multiply
    100,216.98x = 138,301.22 × 54,894.24
  4. Step 4: Simplify right side
    100,216.98x = 7,591,940,500.21
  5. Step 5: Solve for x
    x = 7,591,940,500.21/100,216.98
  6. Step 6: Final answer
    x = 75,755.03

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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.