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Finding the Fourth Proportional to 55,106, 82,659.04 and 18,170

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Solution

The fourth proportional to 55,106, 82,659.04 and 18,170 is: 27,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,106 : 82,659.04 = 18,170 : x
  2. Step 2: Convert to fraction form
    55,106/82,659.04 = 18,170/x
  3. Step 3: Cross multiply
    55,106x = 82,659.04 × 18,170
  4. Step 4: Simplify right side
    55,106x = 1,501,914,756.80
  5. Step 5: Solve for x
    x = 1,501,914,756.80/55,106
  6. Step 6: Final answer
    x = 27,255.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.