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Finding the Fourth Proportional to 71,350.90, 107,017.09 and 26,971.87

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Solution

The fourth proportional to 71,350.90, 107,017.09 and 26,971.87 is: 40,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,350.90 : 107,017.09 = 26,971.87 : x
  2. Step 2: Convert to fraction form
    71,350.90/107,017.09 = 26,971.87/x
  3. Step 3: Cross multiply
    71,350.90x = 107,017.09 × 26,971.87
  4. Step 4: Simplify right side
    71,350.90x = 2,886,451,039.26
  5. Step 5: Solve for x
    x = 2,886,451,039.26/71,350.90
  6. Step 6: Final answer
    x = 40,454.30

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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.