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Finding the Fourth Proportional to 139,214.72, 192,028.92 and 82,586

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Solution

The fourth proportional to 139,214.72, 192,028.92 and 82,586 is: 113,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,214.72 : 192,028.92 = 82,586 : x
  2. Step 2: Convert to fraction form
    139,214.72/192,028.92 = 82,586/x
  3. Step 3: Cross multiply
    139,214.72x = 192,028.92 × 82,586
  4. Step 4: Simplify right side
    139,214.72x = 15,858,900,387.12
  5. Step 5: Solve for x
    x = 15,858,900,387.12/139,214.72
  6. Step 6: Final answer
    x = 113,916.84

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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.