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Finding the Fourth Proportional to 137,893.78, 190,287.39 and 84,268.54

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Solution

The fourth proportional to 137,893.78, 190,287.39 and 84,268.54 is: 116,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,893.78 : 190,287.39 = 84,268.54 : x
  2. Step 2: Convert to fraction form
    137,893.78/190,287.39 = 84,268.54/x
  3. Step 3: Cross multiply
    137,893.78x = 190,287.39 × 84,268.54
  4. Step 4: Simplify right side
    137,893.78x = 16,035,240,535.71
  5. Step 5: Solve for x
    x = 16,035,240,535.71/137,893.78
  6. Step 6: Final answer
    x = 116,286.90

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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.