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Finding the Fourth Proportional to 55,313.20, 82,969.80 and 31,912.30

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Solution

The fourth proportional to 55,313.20, 82,969.80 and 31,912.30 is: 47,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,313.20 : 82,969.80 = 31,912.30 : x
  2. Step 2: Convert to fraction form
    55,313.20/82,969.80 = 31,912.30/x
  3. Step 3: Cross multiply
    55,313.20x = 82,969.80 × 31,912.30
  4. Step 4: Simplify right side
    55,313.20x = 2,647,757,148.54
  5. Step 5: Solve for x
    x = 2,647,757,148.54/55,313.20
  6. Step 6: Final answer
    x = 47,868.45

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1.5x scale

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.