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Finding the Fourth Proportional to 71,374.80, 106,989.30 and 41,777.40

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Solution

The fourth proportional to 71,374.80, 106,989.30 and 41,777.40 is: 62,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,374.80 : 106,989.30 = 41,777.40 : x
  2. Step 2: Convert to fraction form
    71,374.80/106,989.30 = 41,777.40/x
  3. Step 3: Cross multiply
    71,374.80x = 106,989.30 × 41,777.40
  4. Step 4: Simplify right side
    71,374.80x = 4,469,734,781.82
  5. Step 5: Solve for x
    x = 4,469,734,781.82/71,374.80
  6. Step 6: Final answer
    x = 62,623.43

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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.