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Finding the Fourth Proportional to 57,765.96, 86,653.80 and 20,322.09

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Solution

The fourth proportional to 57,765.96, 86,653.80 and 20,322.09 is: 30,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765.96 : 86,653.80 = 20,322.09 : x
  2. Step 2: Convert to fraction form
    57,765.96/86,653.80 = 20,322.09/x
  3. Step 3: Cross multiply
    57,765.96x = 86,653.80 × 20,322.09
  4. Step 4: Simplify right side
    57,765.96x = 1,760,986,322.44
  5. Step 5: Solve for x
    x = 1,760,986,322.44/57,765.96
  6. Step 6: Final answer
    x = 30,484.84

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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.