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Finding the Fourth Proportional to 45,115.92, 67,682.88 and 13,950

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Solution

The fourth proportional to 45,115.92, 67,682.88 and 13,950 is: 20,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,115.92 : 67,682.88 = 13,950 : x
  2. Step 2: Convert to fraction form
    45,115.92/67,682.88 = 13,950/x
  3. Step 3: Cross multiply
    45,115.92x = 67,682.88 × 13,950
  4. Step 4: Simplify right side
    45,115.92x = 944,176,176.00
  5. Step 5: Solve for x
    x = 944,176,176.00/45,115.92
  6. Step 6: Final answer
    x = 20,927.78

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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.