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Finding the Fourth Proportional to 83,143.80, 114,738.21 and 45,418.05

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Solution

The fourth proportional to 83,143.80, 114,738.21 and 45,418.05 is: 62,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.80 : 114,738.21 = 45,418.05 : x
  2. Step 2: Convert to fraction form
    83,143.80/114,738.21 = 45,418.05/x
  3. Step 3: Cross multiply
    83,143.80x = 114,738.21 × 45,418.05
  4. Step 4: Simplify right side
    83,143.80x = 5,211,185,758.69
  5. Step 5: Solve for x
    x = 5,211,185,758.69/83,143.80
  6. Step 6: Final answer
    x = 62,676.78

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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.