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Finding the Fourth Proportional to 138,057.56, 206,863.47 and 115,914.19

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Solution

The fourth proportional to 138,057.56, 206,863.47 and 115,914.19 is: 173,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,057.56 : 206,863.47 = 115,914.19 : x
  2. Step 2: Convert to fraction form
    138,057.56/206,863.47 = 115,914.19/x
  3. Step 3: Cross multiply
    138,057.56x = 206,863.47 × 115,914.19
  4. Step 4: Simplify right side
    138,057.56x = 23,978,411,436.35
  5. Step 5: Solve for x
    x = 23,978,411,436.35/138,057.56
  6. Step 6: Final answer
    x = 173,684.16

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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.