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Finding the Fourth Proportional to 259,523.36, 389,265.60 and 72,549.44

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Solution

The fourth proportional to 259,523.36, 389,265.60 and 72,549.44 is: 108,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,523.36 : 389,265.60 = 72,549.44 : x
  2. Step 2: Convert to fraction form
    259,523.36/389,265.60 = 72,549.44/x
  3. Step 3: Cross multiply
    259,523.36x = 389,265.60 × 72,549.44
  4. Step 4: Simplify right side
    259,523.36x = 28,241,001,291.26
  5. Step 5: Solve for x
    x = 28,241,001,291.26/259,523.36
  6. Step 6: Final answer
    x = 108,818.73

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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.