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Finding the Fourth Proportional to 147,884.49, 204,080.15 and 80,816.49

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Solution

The fourth proportional to 147,884.49, 204,080.15 and 80,816.49 is: 111,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,884.49 : 204,080.15 = 80,816.49 : x
  2. Step 2: Convert to fraction form
    147,884.49/204,080.15 = 80,816.49/x
  3. Step 3: Cross multiply
    147,884.49x = 204,080.15 × 80,816.49
  4. Step 4: Simplify right side
    147,884.49x = 16,493,040,997.59
  5. Step 5: Solve for x
    x = 16,493,040,997.59/147,884.49
  6. Step 6: Final answer
    x = 111,526.51

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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.