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Finding the Fourth Proportional to 83,382.99, 115,086.39 and 53,161.35

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Solution

The fourth proportional to 83,382.99, 115,086.39 and 53,161.35 is: 73,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,382.99 : 115,086.39 = 53,161.35 : x
  2. Step 2: Convert to fraction form
    83,382.99/115,086.39 = 53,161.35/x
  3. Step 3: Cross multiply
    83,382.99x = 115,086.39 × 53,161.35
  4. Step 4: Simplify right side
    83,382.99x = 6,118,147,859.03
  5. Step 5: Solve for x
    x = 6,118,147,859.03/83,382.99
  6. Step 6: Final answer
    x = 73,374.05

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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.