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Finding the Fourth Proportional to 57,786.58, 86,672.10 and 18,347.68

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Solution

The fourth proportional to 57,786.58, 86,672.10 and 18,347.68 is: 27,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,786.58 : 86,672.10 = 18,347.68 : x
  2. Step 2: Convert to fraction form
    57,786.58/86,672.10 = 18,347.68/x
  3. Step 3: Cross multiply
    57,786.58x = 86,672.10 × 18,347.68
  4. Step 4: Simplify right side
    57,786.58x = 1,590,231,955.73
  5. Step 5: Solve for x
    x = 1,590,231,955.73/57,786.58
  6. Step 6: Final answer
    x = 27,519.05

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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.