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Finding the Fourth Proportional to 259,734.36, 389,616.36 and 72,760.44

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Solution

The fourth proportional to 259,734.36, 389,616.36 and 72,760.44 is: 109,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,734.36 : 389,616.36 = 72,760.44 : x
  2. Step 2: Convert to fraction form
    259,734.36/389,616.36 = 72,760.44/x
  3. Step 3: Cross multiply
    259,734.36x = 389,616.36 × 72,760.44
  4. Step 4: Simplify right side
    259,734.36x = 28,348,657,784.80
  5. Step 5: Solve for x
    x = 28,348,657,784.80/259,734.36
  6. Step 6: Final answer
    x = 109,144.81

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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.