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Finding the Fourth Proportional to 71,376.60, 106,949.70 and 45,034.20

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Solution

The fourth proportional to 71,376.60, 106,949.70 and 45,034.20 is: 67,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,376.60 : 106,949.70 = 45,034.20 : x
  2. Step 2: Convert to fraction form
    71,376.60/106,949.70 = 45,034.20/x
  3. Step 3: Cross multiply
    71,376.60x = 106,949.70 × 45,034.20
  4. Step 4: Simplify right side
    71,376.60x = 4,816,394,179.74
  5. Step 5: Solve for x
    x = 4,816,394,179.74/71,376.60
  6. Step 6: Final answer
    x = 67,478.62

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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.