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Finding the Fourth Proportional to 192,912.80, 288,980.40 and 109,709.60

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Solution

The fourth proportional to 192,912.80, 288,980.40 and 109,709.60 is: 164,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,912.80 : 288,980.40 = 109,709.60 : x
  2. Step 2: Convert to fraction form
    192,912.80/288,980.40 = 109,709.60/x
  3. Step 3: Cross multiply
    192,912.80x = 288,980.40 × 109,709.60
  4. Step 4: Simplify right side
    192,912.80x = 31,703,924,091.84
  5. Step 5: Solve for x
    x = 31,703,924,091.84/192,912.80
  6. Step 6: Final answer
    x = 164,343.29

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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.