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Finding the Fourth Proportional to 57,764.50, 86,647.11 and 20,828.50

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Solution

The fourth proportional to 57,764.50, 86,647.11 and 20,828.50 is: 31,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764.50 : 86,647.11 = 20,828.50 : x
  2. Step 2: Convert to fraction form
    57,764.50/86,647.11 = 20,828.50/x
  3. Step 3: Cross multiply
    57,764.50x = 86,647.11 × 20,828.50
  4. Step 4: Simplify right side
    57,764.50x = 1,804,729,330.64
  5. Step 5: Solve for x
    x = 1,804,729,330.64/57,764.50
  6. Step 6: Final answer
    x = 31,242.88

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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.