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Finding the Fourth Proportional to 83,736, 115,555.68 and 50,208.48

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Solution

The fourth proportional to 83,736, 115,555.68 and 50,208.48 is: 69,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,736 : 115,555.68 = 50,208.48 : x
  2. Step 2: Convert to fraction form
    83,736/115,555.68 = 50,208.48/x
  3. Step 3: Cross multiply
    83,736x = 115,555.68 × 50,208.48
  4. Step 4: Simplify right side
    83,736x = 5,801,875,048.17
  5. Step 5: Solve for x
    x = 5,801,875,048.17/83,736
  6. Step 6: Final answer
    x = 69,287.70

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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.