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Finding the Fourth Proportional to 83,208, 114,827.52 and 53,400

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Solution

The fourth proportional to 83,208, 114,827.52 and 53,400 is: 73,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,208 : 114,827.52 = 53,400 : x
  2. Step 2: Convert to fraction form
    83,208/114,827.52 = 53,400/x
  3. Step 3: Cross multiply
    83,208x = 114,827.52 × 53,400
  4. Step 4: Simplify right side
    83,208x = 6,131,789,568
  5. Step 5: Solve for x
    x = 6,131,789,568/83,208
  6. Step 6: Final answer
    x = 73,692.31

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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.