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Finding the Fourth Proportional to 75,909.21, 113,879.87 and 28,524.72

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Solution

The fourth proportional to 75,909.21, 113,879.87 and 28,524.72 is: 42,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,909.21 : 113,879.87 = 28,524.72 : x
  2. Step 2: Convert to fraction form
    75,909.21/113,879.87 = 28,524.72/x
  3. Step 3: Cross multiply
    75,909.21x = 113,879.87 × 28,524.72
  4. Step 4: Simplify right side
    75,909.21x = 3,248,391,476.80
  5. Step 5: Solve for x
    x = 3,248,391,476.80/75,909.21
  6. Step 6: Final answer
    x = 42,793.11

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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.