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Finding the Fourth Proportional to 71,322.53, 106,977.60 and 43,234.31

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Solution

The fourth proportional to 71,322.53, 106,977.60 and 43,234.31 is: 64,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,322.53 : 106,977.60 = 43,234.31 : x
  2. Step 2: Convert to fraction form
    71,322.53/106,977.60 = 43,234.31/x
  3. Step 3: Cross multiply
    71,322.53x = 106,977.60 × 43,234.31
  4. Step 4: Simplify right side
    71,322.53x = 4,625,102,988.90
  5. Step 5: Solve for x
    x = 4,625,102,988.90/71,322.53
  6. Step 6: Final answer
    x = 64,847.72

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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.