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Finding the Fourth Proportional to 128,954.34, 177,911.37 and 84,268.26

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Solution

The fourth proportional to 128,954.34, 177,911.37 and 84,268.26 is: 116,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,954.34 : 177,911.37 = 84,268.26 : x
  2. Step 2: Convert to fraction form
    128,954.34/177,911.37 = 84,268.26/x
  3. Step 3: Cross multiply
    128,954.34x = 177,911.37 × 84,268.26
  4. Step 4: Simplify right side
    128,954.34x = 14,992,281,584.12
  5. Step 5: Solve for x
    x = 14,992,281,584.12/128,954.34
  6. Step 6: Final answer
    x = 116,260.39

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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.