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Finding the Fourth Proportional to 47,502, 71,253 and 20,473.26

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Solution

The fourth proportional to 47,502, 71,253 and 20,473.26 is: 30,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,502 : 71,253 = 20,473.26 : x
  2. Step 2: Convert to fraction form
    47,502/71,253 = 20,473.26/x
  3. Step 3: Cross multiply
    47,502x = 71,253 × 20,473.26
  4. Step 4: Simplify right side
    47,502x = 1,458,781,194.78
  5. Step 5: Solve for x
    x = 1,458,781,194.78/47,502
  6. Step 6: Final answer
    x = 30,709.89

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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.