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Finding the Fourth Proportional to 206,119.46, 309,129.44 and 86,111.57

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Solution

The fourth proportional to 206,119.46, 309,129.44 and 86,111.57 is: 129,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,119.46 : 309,129.44 = 86,111.57 : x
  2. Step 2: Convert to fraction form
    206,119.46/309,129.44 = 86,111.57/x
  3. Step 3: Cross multiply
    206,119.46x = 309,129.44 × 86,111.57
  4. Step 4: Simplify right side
    206,119.46x = 26,619,619,435.42
  5. Step 5: Solve for x
    x = 26,619,619,435.42/206,119.46
  6. Step 6: Final answer
    x = 129,146.56

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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.