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Finding the Fourth Proportional to 83,581.53, 115,344.54 and 45,855.78

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Solution

The fourth proportional to 83,581.53, 115,344.54 and 45,855.78 is: 63,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,581.53 : 115,344.54 = 45,855.78 : x
  2. Step 2: Convert to fraction form
    83,581.53/115,344.54 = 45,855.78/x
  3. Step 3: Cross multiply
    83,581.53x = 115,344.54 × 45,855.78
  4. Step 4: Simplify right side
    83,581.53x = 5,289,213,850.44
  5. Step 5: Solve for x
    x = 5,289,213,850.44/83,581.53
  6. Step 6: Final answer
    x = 63,282.09

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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.