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Finding the Fourth Proportional to 57,765.75, 86,648.64 and 20,829.75

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Solution

The fourth proportional to 57,765.75, 86,648.64 and 20,829.75 is: 31,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765.75 : 86,648.64 = 20,829.75 : x
  2. Step 2: Convert to fraction form
    57,765.75/86,648.64 = 20,829.75/x
  3. Step 3: Cross multiply
    57,765.75x = 86,648.64 × 20,829.75
  4. Step 4: Simplify right side
    57,765.75x = 1,804,869,509.04
  5. Step 5: Solve for x
    x = 1,804,869,509.04/57,765.75
  6. Step 6: Final answer
    x = 31,244.63

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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.