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Finding the Fourth Proportional to 45,854.67, 68,782.11 and 12,575.21

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Solution

The fourth proportional to 45,854.67, 68,782.11 and 12,575.21 is: 18,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,854.67 : 68,782.11 = 12,575.21 : x
  2. Step 2: Convert to fraction form
    45,854.67/68,782.11 = 12,575.21/x
  3. Step 3: Cross multiply
    45,854.67x = 68,782.11 × 12,575.21
  4. Step 4: Simplify right side
    45,854.67x = 864,949,414.62
  5. Step 5: Solve for x
    x = 864,949,414.62/45,854.67
  6. Step 6: Final answer
    x = 18,862.84

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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.