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Finding the Fourth Proportional to 193,820.68, 290,843.82 and 81,492.76

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Solution

The fourth proportional to 193,820.68, 290,843.82 and 81,492.76 is: 122,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,820.68 : 290,843.82 = 81,492.76 : x
  2. Step 2: Convert to fraction form
    193,820.68/290,843.82 = 81,492.76/x
  3. Step 3: Cross multiply
    193,820.68x = 290,843.82 × 81,492.76
  4. Step 4: Simplify right side
    193,820.68x = 23,701,665,620.74
  5. Step 5: Solve for x
    x = 23,701,665,620.74/193,820.68
  6. Step 6: Final answer
    x = 122,286.57

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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.