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Finding the Fourth Proportional to 80,736, 111,415.68 and 45,408

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Solution

The fourth proportional to 80,736, 111,415.68 and 45,408 is: 62,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,736 : 111,415.68 = 45,408 : x
  2. Step 2: Convert to fraction form
    80,736/111,415.68 = 45,408/x
  3. Step 3: Cross multiply
    80,736x = 111,415.68 × 45,408
  4. Step 4: Simplify right side
    80,736x = 5,059,163,197.44
  5. Step 5: Solve for x
    x = 5,059,163,197.44/80,736
  6. Step 6: Final answer
    x = 62,663.04

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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.