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Finding the Fourth Proportional to 192,067.20, 288,100.80 and 145,411.20

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Solution

The fourth proportional to 192,067.20, 288,100.80 and 145,411.20 is: 218,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,067.20 : 288,100.80 = 145,411.20 : x
  2. Step 2: Convert to fraction form
    192,067.20/288,100.80 = 145,411.20/x
  3. Step 3: Cross multiply
    192,067.20x = 288,100.80 × 145,411.20
  4. Step 4: Simplify right side
    192,067.20x = 41,893,083,048.96
  5. Step 5: Solve for x
    x = 41,893,083,048.96/192,067.20
  6. Step 6: Final answer
    x = 218,116.80

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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.