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Finding the Fourth Proportional to 71,316.94, 106,971.09 and 18,725.26

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Solution

The fourth proportional to 71,316.94, 106,971.09 and 18,725.26 is: 28,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,316.94 : 106,971.09 = 18,725.26 : x
  2. Step 2: Convert to fraction form
    71,316.94/106,971.09 = 18,725.26/x
  3. Step 3: Cross multiply
    71,316.94x = 106,971.09 × 18,725.26
  4. Step 4: Simplify right side
    71,316.94x = 2,003,061,472.73
  5. Step 5: Solve for x
    x = 2,003,061,472.73/71,316.94
  6. Step 6: Final answer
    x = 28,086.76

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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.