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Finding the Fourth Proportional to 45,317.88, 67,878.22 and 21,895

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Solution

The fourth proportional to 45,317.88, 67,878.22 and 21,895 is: 32,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,317.88 : 67,878.22 = 21,895 : x
  2. Step 2: Convert to fraction form
    45,317.88/67,878.22 = 21,895/x
  3. Step 3: Cross multiply
    45,317.88x = 67,878.22 × 21,895
  4. Step 4: Simplify right side
    45,317.88x = 1,486,193,626.90
  5. Step 5: Solve for x
    x = 1,486,193,626.90/45,317.88
  6. Step 6: Final answer
    x = 32,794.86

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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.