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Finding the Fourth Proportional to 259,921.52, 389,803.80 and 135,194.48

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Solution

The fourth proportional to 259,921.52, 389,803.80 and 135,194.48 is: 202,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,921.52 : 389,803.80 = 135,194.48 : x
  2. Step 2: Convert to fraction form
    259,921.52/389,803.80 = 135,194.48/x
  3. Step 3: Cross multiply
    259,921.52x = 389,803.80 × 135,194.48
  4. Step 4: Simplify right side
    259,921.52x = 52,699,322,043.02
  5. Step 5: Solve for x
    x = 52,699,322,043.02/259,921.52
  6. Step 6: Final answer
    x = 202,750.90

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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.