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Finding the Fourth Proportional to 192,647,604.80, 288,971,407.20 and 77,687,220.80

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Solution

The fourth proportional to 192,647,604.80, 288,971,407.20 and 77,687,220.80 is: 116,530,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,647,604.80 : 288,971,407.20 = 77,687,220.80 : x
  2. Step 2: Convert to fraction form
    192,647,604.80/288,971,407.20 = 77,687,220.80/x
  3. Step 3: Cross multiply
    192,647,604.80x = 288,971,407.20 × 77,687,220.80
  4. Step 4: Simplify right side
    192,647,604.80x = 22,449,385,516,033,108
  5. Step 5: Solve for x
    x = 22,449,385,516,033,108/192,647,604.80
  6. Step 6: Final answer
    x = 116,530,831.20

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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.