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Finding the Fourth Proportional to 128,969.52, 193,428.36 and 40,208.64

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Solution

The fourth proportional to 128,969.52, 193,428.36 and 40,208.64 is: 60,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,969.52 : 193,428.36 = 40,208.64 : x
  2. Step 2: Convert to fraction form
    128,969.52/193,428.36 = 40,208.64/x
  3. Step 3: Cross multiply
    128,969.52x = 193,428.36 × 40,208.64
  4. Step 4: Simplify right side
    128,969.52x = 7,777,491,293.03
  5. Step 5: Solve for x
    x = 7,777,491,293.03/128,969.52
  6. Step 6: Final answer
    x = 60,304.88

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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.