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Finding the Fourth Proportional to 68,654, 94,743.96 and 38,846

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Solution

The fourth proportional to 68,654, 94,743.96 and 38,846 is: 53,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,654 : 94,743.96 = 38,846 : x
  2. Step 2: Convert to fraction form
    68,654/94,743.96 = 38,846/x
  3. Step 3: Cross multiply
    68,654x = 94,743.96 × 38,846
  4. Step 4: Simplify right side
    68,654x = 3,680,423,870.16
  5. Step 5: Solve for x
    x = 3,680,423,870.16/68,654
  6. Step 6: Final answer
    x = 53,608.29

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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.