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Finding the Fourth Proportional to 81,995.28, 122,978.64 and 22,815.12

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Solution

The fourth proportional to 81,995.28, 122,978.64 and 22,815.12 is: 34,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,995.28 : 122,978.64 = 22,815.12 : x
  2. Step 2: Convert to fraction form
    81,995.28/122,978.64 = 22,815.12/x
  3. Step 3: Cross multiply
    81,995.28x = 122,978.64 × 22,815.12
  4. Step 4: Simplify right side
    81,995.28x = 2,805,772,429.04
  5. Step 5: Solve for x
    x = 2,805,772,429.04/81,995.28
  6. Step 6: Final answer
    x = 34,218.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.