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Finding the Fourth Proportional to 71,276.31, 106,989.80 and 52,578.27

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Solution

The fourth proportional to 71,276.31, 106,989.80 and 52,578.27 is: 78,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,276.31 : 106,989.80 = 52,578.27 : x
  2. Step 2: Convert to fraction form
    71,276.31/106,989.80 = 52,578.27/x
  3. Step 3: Cross multiply
    71,276.31x = 106,989.80 × 52,578.27
  4. Step 4: Simplify right side
    71,276.31x = 5,625,338,328.75
  5. Step 5: Solve for x
    x = 5,625,338,328.75/71,276.31
  6. Step 6: Final answer
    x = 78,922.97

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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.