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Finding the Fourth Proportional to 81,082.56, 111,894 and 45,272.52

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Solution

The fourth proportional to 81,082.56, 111,894 and 45,272.52 is: 62,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,082.56 : 111,894 = 45,272.52 : x
  2. Step 2: Convert to fraction form
    81,082.56/111,894 = 45,272.52/x
  3. Step 3: Cross multiply
    81,082.56x = 111,894 × 45,272.52
  4. Step 4: Simplify right side
    81,082.56x = 5,065,723,352.88
  5. Step 5: Solve for x
    x = 5,065,723,352.88/81,082.56
  6. Step 6: Final answer
    x = 62,476.12

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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.