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Finding the Fourth Proportional to 71,309.55, 106,956.09 and 18,723.15

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Solution

The fourth proportional to 71,309.55, 106,956.09 and 18,723.15 is: 28,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,309.55 : 106,956.09 = 18,723.15 : x
  2. Step 2: Convert to fraction form
    71,309.55/106,956.09 = 18,723.15/x
  3. Step 3: Cross multiply
    71,309.55x = 106,956.09 × 18,723.15
  4. Step 4: Simplify right side
    71,309.55x = 2,002,554,916.48
  5. Step 5: Solve for x
    x = 2,002,554,916.48/71,309.55
  6. Step 6: Final answer
    x = 28,082.56

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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.