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Finding the Fourth Proportional to 100,067.74, 138,088.33 and 54,736.90

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Solution

The fourth proportional to 100,067.74, 138,088.33 and 54,736.90 is: 75,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,067.74 : 138,088.33 = 54,736.90 : x
  2. Step 2: Convert to fraction form
    100,067.74/138,088.33 = 54,736.90/x
  3. Step 3: Cross multiply
    100,067.74x = 138,088.33 × 54,736.90
  4. Step 4: Simplify right side
    100,067.74x = 7,558,526,628.31
  5. Step 5: Solve for x
    x = 7,558,526,628.31/100,067.74
  6. Step 6: Final answer
    x = 75,534.10

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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.