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Finding the Fourth Proportional to 194,959.89, 292,380.30 and 82,638

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Solution

The fourth proportional to 194,959.89, 292,380.30 and 82,638 is: 123,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,959.89 : 292,380.30 = 82,638 : x
  2. Step 2: Convert to fraction form
    194,959.89/292,380.30 = 82,638/x
  3. Step 3: Cross multiply
    194,959.89x = 292,380.30 × 82,638
  4. Step 4: Simplify right side
    194,959.89x = 24,161,723,231.40
  5. Step 5: Solve for x
    x = 24,161,723,231.40/194,959.89
  6. Step 6: Final answer
    x = 123,931.76

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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.