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Finding the Fourth Proportional to 192,138.90, 288,208.35 and 133,089.90

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Solution

The fourth proportional to 192,138.90, 288,208.35 and 133,089.90 is: 199,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,138.90 : 288,208.35 = 133,089.90 : x
  2. Step 2: Convert to fraction form
    192,138.90/288,208.35 = 133,089.90/x
  3. Step 3: Cross multiply
    192,138.90x = 288,208.35 × 133,089.90
  4. Step 4: Simplify right side
    192,138.90x = 38,357,620,480.67
  5. Step 5: Solve for x
    x = 38,357,620,480.67/192,138.90
  6. Step 6: Final answer
    x = 199,634.85

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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.