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Finding the Fourth Proportional to 55,243.80, 82,907.82 and 40,490.46

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Solution

The fourth proportional to 55,243.80, 82,907.82 and 40,490.46 is: 60,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,243.80 : 82,907.82 = 40,490.46 : x
  2. Step 2: Convert to fraction form
    55,243.80/82,907.82 = 40,490.46/x
  3. Step 3: Cross multiply
    55,243.80x = 82,907.82 × 40,490.46
  4. Step 4: Simplify right side
    55,243.80x = 3,356,975,769.40
  5. Step 5: Solve for x
    x = 3,356,975,769.40/55,243.80
  6. Step 6: Final answer
    x = 60,766.56

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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.