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Finding the Fourth Proportional to 71,265.10, 106,893.78 and 26,890.78

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Solution

The fourth proportional to 71,265.10, 106,893.78 and 26,890.78 is: 40,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,265.10 : 106,893.78 = 26,890.78 : x
  2. Step 2: Convert to fraction form
    71,265.10/106,893.78 = 26,890.78/x
  3. Step 3: Cross multiply
    71,265.10x = 106,893.78 × 26,890.78
  4. Step 4: Simplify right side
    71,265.10x = 2,874,457,121.35
  5. Step 5: Solve for x
    x = 2,874,457,121.35/71,265.10
  6. Step 6: Final answer
    x = 40,334.71

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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.