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Finding the Fourth Proportional to 81,145.26, 111,978.41 and 45,335.54

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Solution

The fourth proportional to 81,145.26, 111,978.41 and 45,335.54 is: 62,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,145.26 : 111,978.41 = 45,335.54 : x
  2. Step 2: Convert to fraction form
    81,145.26/111,978.41 = 45,335.54/x
  3. Step 3: Cross multiply
    81,145.26x = 111,978.41 × 45,335.54
  4. Step 4: Simplify right side
    81,145.26x = 5,076,601,738.96
  5. Step 5: Solve for x
    x = 5,076,601,738.96/81,145.26
  6. Step 6: Final answer
    x = 62,561.90

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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.