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Finding the Fourth Proportional to 81,989.48, 113,139.78 and 48,449

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Solution

The fourth proportional to 81,989.48, 113,139.78 and 48,449 is: 66,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,989.48 : 113,139.78 = 48,449 : x
  2. Step 2: Convert to fraction form
    81,989.48/113,139.78 = 48,449/x
  3. Step 3: Cross multiply
    81,989.48x = 113,139.78 × 48,449
  4. Step 4: Simplify right side
    81,989.48x = 5,481,509,201.22
  5. Step 5: Solve for x
    x = 5,481,509,201.22/81,989.48
  6. Step 6: Final answer
    x = 66,856.25

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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.