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Finding the Fourth Proportional to 83,717, 115,529.51 and 45,993.68

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Solution

The fourth proportional to 83,717, 115,529.51 and 45,993.68 is: 63,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,717 : 115,529.51 = 45,993.68 : x
  2. Step 2: Convert to fraction form
    83,717/115,529.51 = 45,993.68/x
  3. Step 3: Cross multiply
    83,717x = 115,529.51 × 45,993.68
  4. Step 4: Simplify right side
    83,717x = 5,313,627,083.53
  5. Step 5: Solve for x
    x = 5,313,627,083.53/83,717
  6. Step 6: Final answer
    x = 63,471.30

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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.