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Finding the Fourth Proportional to 148,489.45, 204,912.92 and 83,957.60

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Solution

The fourth proportional to 148,489.45, 204,912.92 and 83,957.60 is: 115,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,489.45 : 204,912.92 = 83,957.60 : x
  2. Step 2: Convert to fraction form
    148,489.45/204,912.92 = 83,957.60/x
  3. Step 3: Cross multiply
    148,489.45x = 204,912.92 × 83,957.60
  4. Step 4: Simplify right side
    148,489.45x = 17,203,997,694.37
  5. Step 5: Solve for x
    x = 17,203,997,694.37/148,489.45
  6. Step 6: Final answer
    x = 115,860.07

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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.