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Finding the Fourth Proportional to 68,654.34, 102,981.51 and 21,906

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Solution

The fourth proportional to 68,654.34, 102,981.51 and 21,906 is: 32,859

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,654.34 : 102,981.51 = 21,906 : x
  2. Step 2: Convert to fraction form
    68,654.34/102,981.51 = 21,906/x
  3. Step 3: Cross multiply
    68,654.34x = 102,981.51 × 21,906
  4. Step 4: Simplify right side
    68,654.34x = 2,255,912,958.06
  5. Step 5: Solve for x
    x = 2,255,912,958.06/68,654.34
  6. Step 6: Final answer
    x = 32,859

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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.