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Finding the Fourth Proportional to 128,843.28, 193,283.15 and 49,965.48

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Solution

The fourth proportional to 128,843.28, 193,283.15 and 49,965.48 is: 74,955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,843.28 : 193,283.15 = 49,965.48 : x
  2. Step 2: Convert to fraction form
    128,843.28/193,283.15 = 49,965.48/x
  3. Step 3: Cross multiply
    128,843.28x = 193,283.15 × 49,965.48
  4. Step 4: Simplify right side
    128,843.28x = 9,657,485,115.83
  5. Step 5: Solve for x
    x = 9,657,485,115.83/128,843.28
  6. Step 6: Final answer
    x = 74,955.29

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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.