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Finding the Fourth Proportional to 30,745.40, 46,129 and 15,173.96

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Solution

The fourth proportional to 30,745.40, 46,129 and 15,173.96 is: 22,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.40 : 46,129 = 15,173.96 : x
  2. Step 2: Convert to fraction form
    30,745.40/46,129 = 15,173.96/x
  3. Step 3: Cross multiply
    30,745.40x = 46,129 × 15,173.96
  4. Step 4: Simplify right side
    30,745.40x = 699,959,600.84
  5. Step 5: Solve for x
    x = 699,959,600.84/30,745.40
  6. Step 6: Final answer
    x = 22,766.32

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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.