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Finding the Fourth Proportional to 80,408.16, 110,947.26 and 48,578.82

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Solution

The fourth proportional to 80,408.16, 110,947.26 and 48,578.82 is: 67,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,408.16 : 110,947.26 = 48,578.82 : x
  2. Step 2: Convert to fraction form
    80,408.16/110,947.26 = 48,578.82/x
  3. Step 3: Cross multiply
    80,408.16x = 110,947.26 × 48,578.82
  4. Step 4: Simplify right side
    80,408.16x = 5,389,686,973.03
  5. Step 5: Solve for x
    x = 5,389,686,973.03/80,408.16
  6. Step 6: Final answer
    x = 67,029.10

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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.