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Finding the Fourth Proportional to 301,157.32, 451,745.10 and 76,517.77

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Solution

The fourth proportional to 301,157.32, 451,745.10 and 76,517.77 is: 114,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,157.32 : 451,745.10 = 76,517.77 : x
  2. Step 2: Convert to fraction form
    301,157.32/451,745.10 = 76,517.77/x
  3. Step 3: Cross multiply
    301,157.32x = 451,745.10 × 76,517.77
  4. Step 4: Simplify right side
    301,157.32x = 34,566,527,660.43
  5. Step 5: Solve for x
    x = 34,566,527,660.43/301,157.32
  6. Step 6: Final answer
    x = 114,778.97

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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.