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Finding the Fourth Proportional to 57,028, 85,546.78 and 21,014.26

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Solution

The fourth proportional to 57,028, 85,546.78 and 21,014.26 is: 31,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,028 : 85,546.78 = 21,014.26 : x
  2. Step 2: Convert to fraction form
    57,028/85,546.78 = 21,014.26/x
  3. Step 3: Cross multiply
    57,028x = 85,546.78 × 21,014.26
  4. Step 4: Simplify right side
    57,028x = 1,797,702,277.08
  5. Step 5: Solve for x
    x = 1,797,702,277.08/57,028
  6. Step 6: Final answer
    x = 31,523.15

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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.