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Finding the Fourth Proportional to 71,676.34, 107,516.40 and 19,085.92

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Solution

The fourth proportional to 71,676.34, 107,516.40 and 19,085.92 is: 28,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.34 : 107,516.40 = 19,085.92 : x
  2. Step 2: Convert to fraction form
    71,676.34/107,516.40 = 19,085.92/x
  3. Step 3: Cross multiply
    71,676.34x = 107,516.40 × 19,085.92
  4. Step 4: Simplify right side
    71,676.34x = 2,052,049,409.09
  5. Step 5: Solve for x
    x = 2,052,049,409.09/71,676.34
  6. Step 6: Final answer
    x = 28,629.38

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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.