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Finding the Fourth Proportional to 147,786, 203,945.76 and 80,718

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Solution

The fourth proportional to 147,786, 203,945.76 and 80,718 is: 111,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,786 : 203,945.76 = 80,718 : x
  2. Step 2: Convert to fraction form
    147,786/203,945.76 = 80,718/x
  3. Step 3: Cross multiply
    147,786x = 203,945.76 × 80,718
  4. Step 4: Simplify right side
    147,786x = 16,462,093,855.68
  5. Step 5: Solve for x
    x = 16,462,093,855.68/147,786
  6. Step 6: Final answer
    x = 111,391.43

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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.