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Finding the Fourth Proportional to 80,535.70, 120,712.41 and 41,009.32

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Solution

The fourth proportional to 80,535.70, 120,712.41 and 41,009.32 is: 61,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,535.70 : 120,712.41 = 41,009.32 : x
  2. Step 2: Convert to fraction form
    80,535.70/120,712.41 = 41,009.32/x
  3. Step 3: Cross multiply
    80,535.70x = 120,712.41 × 41,009.32
  4. Step 4: Simplify right side
    80,535.70x = 4,950,334,000.55
  5. Step 5: Solve for x
    x = 4,950,334,000.55/80,535.70
  6. Step 6: Final answer
    x = 61,467.57

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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.