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Finding the Fourth Proportional to 100,204.72, 138,284.01 and 54,886.88

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Solution

The fourth proportional to 100,204.72, 138,284.01 and 54,886.88 is: 75,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,204.72 : 138,284.01 = 54,886.88 : x
  2. Step 2: Convert to fraction form
    100,204.72/138,284.01 = 54,886.88/x
  3. Step 3: Cross multiply
    100,204.72x = 138,284.01 × 54,886.88
  4. Step 4: Simplify right side
    100,204.72x = 7,589,978,208.50
  5. Step 5: Solve for x
    x = 7,589,978,208.50/100,204.72
  6. Step 6: Final answer
    x = 75,744.72

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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.