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Finding the Fourth Proportional to 128,082, 192,124.08 and 44,976

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Solution

The fourth proportional to 128,082, 192,124.08 and 44,976 is: 67,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,082 : 192,124.08 = 44,976 : x
  2. Step 2: Convert to fraction form
    128,082/192,124.08 = 44,976/x
  3. Step 3: Cross multiply
    128,082x = 192,124.08 × 44,976
  4. Step 4: Simplify right side
    128,082x = 8,640,972,622.08
  5. Step 5: Solve for x
    x = 8,640,972,622.08/128,082
  6. Step 6: Final answer
    x = 67,464.38

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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.