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Finding the Fourth Proportional to 80,728.56, 121,021.80 and 31,446

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Solution

The fourth proportional to 80,728.56, 121,021.80 and 31,446 is: 47,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,728.56 : 121,021.80 = 31,446 : x
  2. Step 2: Convert to fraction form
    80,728.56/121,021.80 = 31,446/x
  3. Step 3: Cross multiply
    80,728.56x = 121,021.80 × 31,446
  4. Step 4: Simplify right side
    80,728.56x = 3,805,651,522.80
  5. Step 5: Solve for x
    x = 3,805,651,522.80/80,728.56
  6. Step 6: Final answer
    x = 47,141.33

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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.