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Finding the Fourth Proportional to 43,872.82, 65,818.95 and 20,486.50

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Solution

The fourth proportional to 43,872.82, 65,818.95 and 20,486.50 is: 30,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,872.82 : 65,818.95 = 20,486.50 : x
  2. Step 2: Convert to fraction form
    43,872.82/65,818.95 = 20,486.50/x
  3. Step 3: Cross multiply
    43,872.82x = 65,818.95 × 20,486.50
  4. Step 4: Simplify right side
    43,872.82x = 1,348,399,919.18
  5. Step 5: Solve for x
    x = 1,348,399,919.18/43,872.82
  6. Step 6: Final answer
    x = 30,734.29

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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.