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Finding the Fourth Proportional to 192,493.80, 288,740.70 and 67,847.40

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Solution

The fourth proportional to 192,493.80, 288,740.70 and 67,847.40 is: 101,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,493.80 : 288,740.70 = 67,847.40 : x
  2. Step 2: Convert to fraction form
    192,493.80/288,740.70 = 67,847.40/x
  3. Step 3: Cross multiply
    192,493.80x = 288,740.70 × 67,847.40
  4. Step 4: Simplify right side
    192,493.80x = 19,590,305,769.18
  5. Step 5: Solve for x
    x = 19,590,305,769.18/192,493.80
  6. Step 6: Final answer
    x = 101,771.10

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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.