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Finding the Fourth Proportional to 201,245.73, 277,713.23 and 115,201.86

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Solution

The fourth proportional to 201,245.73, 277,713.23 and 115,201.86 is: 158,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,245.73 : 277,713.23 = 115,201.86 : x
  2. Step 2: Convert to fraction form
    201,245.73/277,713.23 = 115,201.86/x
  3. Step 3: Cross multiply
    201,245.73x = 277,713.23 × 115,201.86
  4. Step 4: Simplify right side
    201,245.73x = 31,993,080,387.72
  5. Step 5: Solve for x
    x = 31,993,080,387.72/201,245.73
  6. Step 6: Final answer
    x = 158,975.20

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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.