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Finding the Fourth Proportional to 81,145.38, 112,024 and 54,333.56

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Solution

The fourth proportional to 81,145.38, 112,024 and 54,333.56 is: 75,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,145.38 : 112,024 = 54,333.56 : x
  2. Step 2: Convert to fraction form
    81,145.38/112,024 = 54,333.56/x
  3. Step 3: Cross multiply
    81,145.38x = 112,024 × 54,333.56
  4. Step 4: Simplify right side
    81,145.38x = 6,086,662,725.44
  5. Step 5: Solve for x
    x = 6,086,662,725.44/81,145.38
  6. Step 6: Final answer
    x = 75,009.36

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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.