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Finding the Fourth Proportional to 109,745.20, 164,617.80 and 30,872.80

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Solution

The fourth proportional to 109,745.20, 164,617.80 and 30,872.80 is: 46,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,745.20 : 164,617.80 = 30,872.80 : x
  2. Step 2: Convert to fraction form
    109,745.20/164,617.80 = 30,872.80/x
  3. Step 3: Cross multiply
    109,745.20x = 164,617.80 × 30,872.80
  4. Step 4: Simplify right side
    109,745.20x = 5,082,212,415.84
  5. Step 5: Solve for x
    x = 5,082,212,415.84/109,745.20
  6. Step 6: Final answer
    x = 46,309.20

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1.5x scale

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.