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Finding the Fourth Proportional to 80,538.48, 120,671.28 and 49,308.48

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Solution

The fourth proportional to 80,538.48, 120,671.28 and 49,308.48 is: 73,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,538.48 : 120,671.28 = 49,308.48 : x
  2. Step 2: Convert to fraction form
    80,538.48/120,671.28 = 49,308.48/x
  3. Step 3: Cross multiply
    80,538.48x = 120,671.28 × 49,308.48
  4. Step 4: Simplify right side
    80,538.48x = 5,950,117,396.45
  5. Step 5: Solve for x
    x = 5,950,117,396.45/80,538.48
  6. Step 6: Final answer
    x = 73,879.19

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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.