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Finding the Fourth Proportional to 100,390.98, 138,540.84 and 55,066

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Solution

The fourth proportional to 100,390.98, 138,540.84 and 55,066 is: 75,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,390.98 : 138,540.84 = 55,066 : x
  2. Step 2: Convert to fraction form
    100,390.98/138,540.84 = 55,066/x
  3. Step 3: Cross multiply
    100,390.98x = 138,540.84 × 55,066
  4. Step 4: Simplify right side
    100,390.98x = 7,628,889,895.44
  5. Step 5: Solve for x
    x = 7,628,889,895.44/100,390.98
  6. Step 6: Final answer
    x = 75,991.79

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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.