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Finding the Fourth Proportional to 68,634.34, 94,711 and 38,414.58

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Solution

The fourth proportional to 68,634.34, 94,711 and 38,414.58 is: 53,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,634.34 : 94,711 = 38,414.58 : x
  2. Step 2: Convert to fraction form
    68,634.34/94,711 = 38,414.58/x
  3. Step 3: Cross multiply
    68,634.34x = 94,711 × 38,414.58
  4. Step 4: Simplify right side
    68,634.34x = 3,638,283,286.38
  5. Step 5: Solve for x
    x = 3,638,283,286.38/68,634.34
  6. Step 6: Final answer
    x = 53,009.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.