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Finding the Fourth Proportional to 128,522.25, 192,783.38 and 35,028

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Solution

The fourth proportional to 128,522.25, 192,783.38 and 35,028 is: 52,542

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,522.25 : 192,783.38 = 35,028 : x
  2. Step 2: Convert to fraction form
    128,522.25/192,783.38 = 35,028/x
  3. Step 3: Cross multiply
    128,522.25x = 192,783.38 × 35,028
  4. Step 4: Simplify right side
    128,522.25x = 6,752,816,059.50
  5. Step 5: Solve for x
    x = 6,752,816,059.50/128,522.25
  6. Step 6: Final answer
    x = 52,542

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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.