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Finding the Fourth Proportional to 57,745.25, 86,617.88 and 13,969.25

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Solution

The fourth proportional to 57,745.25, 86,617.88 and 13,969.25 is: 20,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,745.25 : 86,617.88 = 13,969.25 : x
  2. Step 2: Convert to fraction form
    57,745.25/86,617.88 = 13,969.25/x
  3. Step 3: Cross multiply
    57,745.25x = 86,617.88 × 13,969.25
  4. Step 4: Simplify right side
    57,745.25x = 1,209,986,750.34
  5. Step 5: Solve for x
    x = 1,209,986,750.34/57,745.25
  6. Step 6: Final answer
    x = 20,953.88

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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.