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Finding the Fourth Proportional to 71,138.72, 106,739.04 and 33,725

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Solution

The fourth proportional to 71,138.72, 106,739.04 and 33,725 is: 50,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,138.72 : 106,739.04 = 33,725 : x
  2. Step 2: Convert to fraction form
    71,138.72/106,739.04 = 33,725/x
  3. Step 3: Cross multiply
    71,138.72x = 106,739.04 × 33,725
  4. Step 4: Simplify right side
    71,138.72x = 3,599,774,124
  5. Step 5: Solve for x
    x = 3,599,774,124/71,138.72
  6. Step 6: Final answer
    x = 50,602.18

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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.