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Finding the Fourth Proportional to 252,129.09, 378,238.59 and 83,659.53

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Solution

The fourth proportional to 252,129.09, 378,238.59 and 83,659.53 is: 125,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,129.09 : 378,238.59 = 83,659.53 : x
  2. Step 2: Convert to fraction form
    252,129.09/378,238.59 = 83,659.53/x
  3. Step 3: Cross multiply
    252,129.09x = 378,238.59 × 83,659.53
  4. Step 4: Simplify right side
    252,129.09x = 31,643,262,667.26
  5. Step 5: Solve for x
    x = 31,643,262,667.26/252,129.09
  6. Step 6: Final answer
    x = 125,504.21

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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.