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Finding the Fourth Proportional to 71,578.91, 107,204.80 and 34,165.25

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Solution

The fourth proportional to 71,578.91, 107,204.80 and 34,165.25 is: 51,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.91 : 107,204.80 = 34,165.25 : x
  2. Step 2: Convert to fraction form
    71,578.91/107,204.80 = 34,165.25/x
  3. Step 3: Cross multiply
    71,578.91x = 107,204.80 × 34,165.25
  4. Step 4: Simplify right side
    71,578.91x = 3,662,678,573.78
  5. Step 5: Solve for x
    x = 3,662,678,573.78/71,578.91
  6. Step 6: Final answer
    x = 51,169.80

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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.