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Finding the Fourth Proportional to 75,771.80, 113,454.27 and 42,396.82

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Solution

The fourth proportional to 75,771.80, 113,454.27 and 42,396.82 is: 63,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,771.80 : 113,454.27 = 42,396.82 : x
  2. Step 2: Convert to fraction form
    75,771.80/113,454.27 = 42,396.82/x
  3. Step 3: Cross multiply
    75,771.80x = 113,454.27 × 42,396.82
  4. Step 4: Simplify right side
    75,771.80x = 4,810,099,979.79
  5. Step 5: Solve for x
    x = 4,810,099,979.79/75,771.80
  6. Step 6: Final answer
    x = 63,481.40

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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.