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Finding the Fourth Proportional to 71,273.28, 106,912.64 and 31,830.72

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Solution

The fourth proportional to 71,273.28, 106,912.64 and 31,830.72 is: 47,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,273.28 : 106,912.64 = 31,830.72 : x
  2. Step 2: Convert to fraction form
    71,273.28/106,912.64 = 31,830.72/x
  3. Step 3: Cross multiply
    71,273.28x = 106,912.64 × 31,830.72
  4. Step 4: Simplify right side
    71,273.28x = 3,403,106,308.30
  5. Step 5: Solve for x
    x = 3,403,106,308.30/71,273.28
  6. Step 6: Final answer
    x = 47,747.29

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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.