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Finding the Fourth Proportional to 47,728.40, 71,561 and 22,772.30

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Solution

The fourth proportional to 47,728.40, 71,561 and 22,772.30 is: 34,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,728.40 : 71,561 = 22,772.30 : x
  2. Step 2: Convert to fraction form
    47,728.40/71,561 = 22,772.30/x
  3. Step 3: Cross multiply
    47,728.40x = 71,561 × 22,772.30
  4. Step 4: Simplify right side
    47,728.40x = 1,629,608,560.30
  5. Step 5: Solve for x
    x = 1,629,608,560.30/47,728.40
  6. Step 6: Final answer
    x = 34,143.37

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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.