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Finding the Fourth Proportional to 81,065.54, 111,865.92 and 45,257.86

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Solution

The fourth proportional to 81,065.54, 111,865.92 and 45,257.86 is: 62,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,065.54 : 111,865.92 = 45,257.86 : x
  2. Step 2: Convert to fraction form
    81,065.54/111,865.92 = 45,257.86/x
  3. Step 3: Cross multiply
    81,065.54x = 111,865.92 × 45,257.86
  4. Step 4: Simplify right side
    81,065.54x = 5,062,812,146.13
  5. Step 5: Solve for x
    x = 5,062,812,146.13/81,065.54
  6. Step 6: Final answer
    x = 62,453.32

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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.