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Finding the Fourth Proportional to 101,745.28, 140,408.04 and 57,033.28

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Solution

The fourth proportional to 101,745.28, 140,408.04 and 57,033.28 is: 78,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,745.28 : 140,408.04 = 57,033.28 : x
  2. Step 2: Convert to fraction form
    101,745.28/140,408.04 = 57,033.28/x
  3. Step 3: Cross multiply
    101,745.28x = 140,408.04 × 57,033.28
  4. Step 4: Simplify right side
    101,745.28x = 8,007,931,059.57
  5. Step 5: Solve for x
    x = 8,007,931,059.57/101,745.28
  6. Step 6: Final answer
    x = 78,705.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.