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Finding the Fourth Proportional to 55,855.88, 83,765.92 and 18,407.56

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Solution

The fourth proportional to 55,855.88, 83,765.92 and 18,407.56 is: 27,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,855.88 : 83,765.92 = 18,407.56 : x
  2. Step 2: Convert to fraction form
    55,855.88/83,765.92 = 18,407.56/x
  3. Step 3: Cross multiply
    55,855.88x = 83,765.92 × 18,407.56
  4. Step 4: Simplify right side
    55,855.88x = 1,541,926,198.36
  5. Step 5: Solve for x
    x = 1,541,926,198.36/55,855.88
  6. Step 6: Final answer
    x = 27,605.44

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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.