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Finding the Fourth Proportional to 83,450.25, 115,161.48 and 45,724.50

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Solution

The fourth proportional to 83,450.25, 115,161.48 and 45,724.50 is: 63,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,450.25 : 115,161.48 = 45,724.50 : x
  2. Step 2: Convert to fraction form
    83,450.25/115,161.48 = 45,724.50/x
  3. Step 3: Cross multiply
    83,450.25x = 115,161.48 × 45,724.50
  4. Step 4: Simplify right side
    83,450.25x = 5,265,701,092.26
  5. Step 5: Solve for x
    x = 5,265,701,092.26/83,450.25
  6. Step 6: Final answer
    x = 63,099.88

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1.5x scale

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.