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Finding the Fourth Proportional to 206,657.09, 285,113.41 and 135,078.41

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Solution

The fourth proportional to 206,657.09, 285,113.41 and 135,078.41 is: 186,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,657.09 : 285,113.41 = 135,078.41 : x
  2. Step 2: Convert to fraction form
    206,657.09/285,113.41 = 135,078.41/x
  3. Step 3: Cross multiply
    206,657.09x = 285,113.41 × 135,078.41
  4. Step 4: Simplify right side
    206,657.09x = 38,512,666,092.48
  5. Step 5: Solve for x
    x = 38,512,666,092.48/206,657.09
  6. Step 6: Final answer
    x = 186,360.25

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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.