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Finding the Fourth Proportional to 71,329.80, 106,892.30 and 52,462.60

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Solution

The fourth proportional to 71,329.80, 106,892.30 and 52,462.60 is: 78,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,329.80 : 106,892.30 = 52,462.60 : x
  2. Step 2: Convert to fraction form
    71,329.80/106,892.30 = 52,462.60/x
  3. Step 3: Cross multiply
    71,329.80x = 106,892.30 × 52,462.60
  4. Step 4: Simplify right side
    71,329.80x = 5,607,847,977.98
  5. Step 5: Solve for x
    x = 5,607,847,977.98/71,329.80
  6. Step 6: Final answer
    x = 78,618.59

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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.