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Finding the Fourth Proportional to 166,905, 250,396.88 and 54,584.78

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Solution

The fourth proportional to 166,905, 250,396.88 and 54,584.78 is: 81,890.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,905 : 250,396.88 = 54,584.78 : x
  2. Step 2: Convert to fraction form
    166,905/250,396.88 = 54,584.78/x
  3. Step 3: Cross multiply
    166,905x = 250,396.88 × 54,584.78
  4. Step 4: Simplify right side
    166,905x = 13,667,857,082.58
  5. Step 5: Solve for x
    x = 13,667,857,082.58/166,905
  6. Step 6: Final answer
    x = 81,890.04

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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.