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Finding the Fourth Proportional to 193,031.80, 289,540.06 and 80,683

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Solution

The fourth proportional to 193,031.80, 289,540.06 and 80,683 is: 121,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,031.80 : 289,540.06 = 80,683 : x
  2. Step 2: Convert to fraction form
    193,031.80/289,540.06 = 80,683/x
  3. Step 3: Cross multiply
    193,031.80x = 289,540.06 × 80,683
  4. Step 4: Simplify right side
    193,031.80x = 23,360,960,660.98
  5. Step 5: Solve for x
    x = 23,360,960,660.98/193,031.80
  6. Step 6: Final answer
    x = 121,021.31

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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.