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Finding the Fourth Proportional to 206,422, 309,685.02 and 58,678

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Solution

The fourth proportional to 206,422, 309,685.02 and 58,678 is: 88,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,422 : 309,685.02 = 58,678 : x
  2. Step 2: Convert to fraction form
    206,422/309,685.02 = 58,678/x
  3. Step 3: Cross multiply
    206,422x = 309,685.02 × 58,678
  4. Step 4: Simplify right side
    206,422x = 18,171,697,603.56
  5. Step 5: Solve for x
    x = 18,171,697,603.56/206,422
  6. Step 6: Final answer
    x = 88,031.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.