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Finding the Fourth Proportional to 259,813.38, 389,676.15 and 72,781.86

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Solution

The fourth proportional to 259,813.38, 389,676.15 and 72,781.86 is: 109,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,813.38 : 389,676.15 = 72,781.86 : x
  2. Step 2: Convert to fraction form
    259,813.38/389,676.15 = 72,781.86/x
  3. Step 3: Cross multiply
    259,813.38x = 389,676.15 × 72,781.86
  4. Step 4: Simplify right side
    259,813.38x = 28,361,354,994.64
  5. Step 5: Solve for x
    x = 28,361,354,994.64/259,813.38
  6. Step 6: Final answer
    x = 109,160.49

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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.