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Finding the Fourth Proportional to 206,746.56, 285,418.62 and 139,119.12

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Solution

The fourth proportional to 206,746.56, 285,418.62 and 139,119.12 is: 192,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,746.56 : 285,418.62 = 139,119.12 : x
  2. Step 2: Convert to fraction form
    206,746.56/285,418.62 = 139,119.12/x
  3. Step 3: Cross multiply
    206,746.56x = 285,418.62 × 139,119.12
  4. Step 4: Simplify right side
    206,746.56x = 39,707,187,246.01
  5. Step 5: Solve for x
    x = 39,707,187,246.01/206,746.56
  6. Step 6: Final answer
    x = 192,057.31

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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.