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Finding the Fourth Proportional to 72,042.48, 107,947.08 and 54,546.48

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Solution

The fourth proportional to 72,042.48, 107,947.08 and 54,546.48 is: 81,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,042.48 : 107,947.08 = 54,546.48 : x
  2. Step 2: Convert to fraction form
    72,042.48/107,947.08 = 54,546.48/x
  3. Step 3: Cross multiply
    72,042.48x = 107,947.08 × 54,546.48
  4. Step 4: Simplify right side
    72,042.48x = 5,888,133,240.28
  5. Step 5: Solve for x
    x = 5,888,133,240.28/72,042.48
  6. Step 6: Final answer
    x = 81,731.41

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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.