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Finding the Fourth Proportional to 71,570.39, 107,285.31 and 34,120.44

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Solution

The fourth proportional to 71,570.39, 107,285.31 and 34,120.44 is: 51,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570.39 : 107,285.31 = 34,120.44 : x
  2. Step 2: Convert to fraction form
    71,570.39/107,285.31 = 34,120.44/x
  3. Step 3: Cross multiply
    71,570.39x = 107,285.31 × 34,120.44
  4. Step 4: Simplify right side
    71,570.39x = 3,660,621,982.74
  5. Step 5: Solve for x
    x = 3,660,621,982.74/71,570.39
  6. Step 6: Final answer
    x = 51,147.16

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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.