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Finding the Fourth Proportional to 82,696.87, 114,161.78 and 55,463

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Solution

The fourth proportional to 82,696.87, 114,161.78 and 55,463 is: 76,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,696.87 : 114,161.78 = 55,463 : x
  2. Step 2: Convert to fraction form
    82,696.87/114,161.78 = 55,463/x
  3. Step 3: Cross multiply
    82,696.87x = 114,161.78 × 55,463
  4. Step 4: Simplify right side
    82,696.87x = 6,331,754,804.14
  5. Step 5: Solve for x
    x = 6,331,754,804.14/82,696.87
  6. Step 6: Final answer
    x = 76,565.83

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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.