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Finding the Fourth Proportional to 82,761.75, 114,211.22 and 45,036

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Solution

The fourth proportional to 82,761.75, 114,211.22 and 45,036 is: 62,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,761.75 : 114,211.22 = 45,036 : x
  2. Step 2: Convert to fraction form
    82,761.75/114,211.22 = 45,036/x
  3. Step 3: Cross multiply
    82,761.75x = 114,211.22 × 45,036
  4. Step 4: Simplify right side
    82,761.75x = 5,143,616,278.74
  5. Step 5: Solve for x
    x = 5,143,616,278.74/82,761.75
  6. Step 6: Final answer
    x = 62,149.68

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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.