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Finding the Fourth Proportional to 83,581.50, 115,344.50 and 45,855.75

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Solution

The fourth proportional to 83,581.50, 115,344.50 and 45,855.75 is: 63,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,581.50 : 115,344.50 = 45,855.75 : x
  2. Step 2: Convert to fraction form
    83,581.50/115,344.50 = 45,855.75/x
  3. Step 3: Cross multiply
    83,581.50x = 115,344.50 × 45,855.75
  4. Step 4: Simplify right side
    83,581.50x = 5,289,208,326.60
  5. Step 5: Solve for x
    x = 5,289,208,326.60/83,581.50
  6. Step 6: Final answer
    x = 63,282.05

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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.