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Finding the Fourth Proportional to 78,589, 108,452.82 and 43,261

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Solution

The fourth proportional to 78,589, 108,452.82 and 43,261 is: 59,700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,589 : 108,452.82 = 43,261 : x
  2. Step 2: Convert to fraction form
    78,589/108,452.82 = 43,261/x
  3. Step 3: Cross multiply
    78,589x = 108,452.82 × 43,261
  4. Step 4: Simplify right side
    78,589x = 4,691,777,446.02
  5. Step 5: Solve for x
    x = 4,691,777,446.02/78,589
  6. Step 6: Final answer
    x = 59,700.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.