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Finding the Fourth Proportional to 186,771.96, 280,028.34 and 68,427

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Solution

The fourth proportional to 186,771.96, 280,028.34 and 68,427 is: 102,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,771.96 : 280,028.34 = 68,427 : x
  2. Step 2: Convert to fraction form
    186,771.96/280,028.34 = 68,427/x
  3. Step 3: Cross multiply
    186,771.96x = 280,028.34 × 68,427
  4. Step 4: Simplify right side
    186,771.96x = 19,161,499,221.18
  5. Step 5: Solve for x
    x = 19,161,499,221.18/186,771.96
  6. Step 6: Final answer
    x = 102,593.02

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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.