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Finding the Fourth Proportional to 100,164.50, 138,227.03 and 54,842.49

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Solution

The fourth proportional to 100,164.50, 138,227.03 and 54,842.49 is: 75,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,164.50 : 138,227.03 = 54,842.49 : x
  2. Step 2: Convert to fraction form
    100,164.50/138,227.03 = 54,842.49/x
  3. Step 3: Cross multiply
    100,164.50x = 138,227.03 × 54,842.49
  4. Step 4: Simplify right side
    100,164.50x = 7,580,714,236.29
  5. Step 5: Solve for x
    x = 7,580,714,236.29/100,164.50
  6. Step 6: Final answer
    x = 75,682.64

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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.