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Finding the Fourth Proportional to 71,614.75, 107,424.26 and 34,178.78

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Solution

The fourth proportional to 71,614.75, 107,424.26 and 34,178.78 is: 51,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,614.75 : 107,424.26 = 34,178.78 : x
  2. Step 2: Convert to fraction form
    71,614.75/107,424.26 = 34,178.78/x
  3. Step 3: Cross multiply
    71,614.75x = 107,424.26 × 34,178.78
  4. Step 4: Simplify right side
    71,614.75x = 3,671,630,149.20
  5. Step 5: Solve for x
    x = 3,671,630,149.20/71,614.75
  6. Step 6: Final answer
    x = 51,269.19

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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.