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Finding the Fourth Proportional to 45,462.80, 68,016 and 29,910.80

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Solution

The fourth proportional to 45,462.80, 68,016 and 29,910.80 is: 44,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,462.80 : 68,016 = 29,910.80 : x
  2. Step 2: Convert to fraction form
    45,462.80/68,016 = 29,910.80/x
  3. Step 3: Cross multiply
    45,462.80x = 68,016 × 29,910.80
  4. Step 4: Simplify right side
    45,462.80x = 2,034,412,972.80
  5. Step 5: Solve for x
    x = 2,034,412,972.80/45,462.80
  6. Step 6: Final answer
    x = 44,748.96

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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.