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Finding the Fourth Proportional to 71,268.10, 106,898.28 and 26,893.78

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Solution

The fourth proportional to 71,268.10, 106,898.28 and 26,893.78 is: 40,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,268.10 : 106,898.28 = 26,893.78 : x
  2. Step 2: Convert to fraction form
    71,268.10/106,898.28 = 26,893.78/x
  3. Step 3: Cross multiply
    71,268.10x = 106,898.28 × 26,893.78
  4. Step 4: Simplify right side
    71,268.10x = 2,874,898,824.70
  5. Step 5: Solve for x
    x = 2,874,898,824.70/71,268.10
  6. Step 6: Final answer
    x = 40,339.21

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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.