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Finding the Fourth Proportional to 102,771.36, 154,167.30 and 27,892.71

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Solution

The fourth proportional to 102,771.36, 154,167.30 and 27,892.71 is: 41,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,771.36 : 154,167.30 = 27,892.71 : x
  2. Step 2: Convert to fraction form
    102,771.36/154,167.30 = 27,892.71/x
  3. Step 3: Cross multiply
    102,771.36x = 154,167.30 × 27,892.71
  4. Step 4: Simplify right side
    102,771.36x = 4,300,143,790.38
  5. Step 5: Solve for x
    x = 4,300,143,790.38/102,771.36
  6. Step 6: Final answer
    x = 41,841.85

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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.