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Finding the Fourth Proportional to 50,742, 76,113.27 and 13,806

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Solution

The fourth proportional to 50,742, 76,113.27 and 13,806 is: 20,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,742 : 76,113.27 = 13,806 : x
  2. Step 2: Convert to fraction form
    50,742/76,113.27 = 13,806/x
  3. Step 3: Cross multiply
    50,742x = 76,113.27 × 13,806
  4. Step 4: Simplify right side
    50,742x = 1,050,819,805.62
  5. Step 5: Solve for x
    x = 1,050,819,805.62/50,742
  6. Step 6: Final answer
    x = 20,709.07

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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.