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Finding the Fourth Proportional to 71,399.60, 106,969.80 and 43,665.20

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Solution

The fourth proportional to 71,399.60, 106,969.80 and 43,665.20 is: 65,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,399.60 : 106,969.80 = 43,665.20 : x
  2. Step 2: Convert to fraction form
    71,399.60/106,969.80 = 43,665.20/x
  3. Step 3: Cross multiply
    71,399.60x = 106,969.80 × 43,665.20
  4. Step 4: Simplify right side
    71,399.60x = 4,670,857,710.96
  5. Step 5: Solve for x
    x = 4,670,857,710.96/71,399.60
  6. Step 6: Final answer
    x = 65,418.54

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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.