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Finding the Fourth Proportional to 128,936.82, 193,406.52 and 38,980.26

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Solution

The fourth proportional to 128,936.82, 193,406.52 and 38,980.26 is: 58,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,936.82 : 193,406.52 = 38,980.26 : x
  2. Step 2: Convert to fraction form
    128,936.82/193,406.52 = 38,980.26/x
  3. Step 3: Cross multiply
    128,936.82x = 193,406.52 × 38,980.26
  4. Step 4: Simplify right side
    128,936.82x = 7,539,036,435.30
  5. Step 5: Solve for x
    x = 7,539,036,435.30/128,936.82
  6. Step 6: Final answer
    x = 58,470.78

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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.