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Finding the Fourth Proportional to 80,728, 111,405.12 and 45,400

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Solution

The fourth proportional to 80,728, 111,405.12 and 45,400 is: 62,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,728 : 111,405.12 = 45,400 : x
  2. Step 2: Convert to fraction form
    80,728/111,405.12 = 45,400/x
  3. Step 3: Cross multiply
    80,728x = 111,405.12 × 45,400
  4. Step 4: Simplify right side
    80,728x = 5,057,792,448
  5. Step 5: Solve for x
    x = 5,057,792,448/80,728
  6. Step 6: Final answer
    x = 62,652.27

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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.