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Finding the Fourth Proportional to 100,108.44, 138,149.64 and 54,786.40

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Solution

The fourth proportional to 100,108.44, 138,149.64 and 54,786.40 is: 75,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,108.44 : 138,149.64 = 54,786.40 : x
  2. Step 2: Convert to fraction form
    100,108.44/138,149.64 = 54,786.40/x
  3. Step 3: Cross multiply
    100,108.44x = 138,149.64 × 54,786.40
  4. Step 4: Simplify right side
    100,108.44x = 7,568,721,436.90
  5. Step 5: Solve for x
    x = 7,568,721,436.90/100,108.44
  6. Step 6: Final answer
    x = 75,605.23

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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.