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Finding the Fourth Proportional to 45,771, 68,656.92 and 18,069

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Solution

The fourth proportional to 45,771, 68,656.92 and 18,069 is: 27,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,771 : 68,656.92 = 18,069 : x
  2. Step 2: Convert to fraction form
    45,771/68,656.92 = 18,069/x
  3. Step 3: Cross multiply
    45,771x = 68,656.92 × 18,069
  4. Step 4: Simplify right side
    45,771x = 1,240,561,887.48
  5. Step 5: Solve for x
    x = 1,240,561,887.48/45,771
  6. Step 6: Final answer
    x = 27,103.67

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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.