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Finding the Fourth Proportional to 51,806.27, 71,490.03 and 30,581.43

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Solution

The fourth proportional to 51,806.27, 71,490.03 and 30,581.43 is: 42,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.27 : 71,490.03 = 30,581.43 : x
  2. Step 2: Convert to fraction form
    51,806.27/71,490.03 = 30,581.43/x
  3. Step 3: Cross multiply
    51,806.27x = 71,490.03 × 30,581.43
  4. Step 4: Simplify right side
    51,806.27x = 2,186,267,348.14
  5. Step 5: Solve for x
    x = 2,186,267,348.14/51,806.27
  6. Step 6: Final answer
    x = 42,200.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.