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Finding the Fourth Proportional to 80,644.16, 120,977.18 and 28,046.81

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Solution

The fourth proportional to 80,644.16, 120,977.18 and 28,046.81 is: 42,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,644.16 : 120,977.18 = 28,046.81 : x
  2. Step 2: Convert to fraction form
    80,644.16/120,977.18 = 28,046.81/x
  3. Step 3: Cross multiply
    80,644.16x = 120,977.18 × 28,046.81
  4. Step 4: Simplify right side
    80,644.16x = 3,393,023,236.68
  5. Step 5: Solve for x
    x = 3,393,023,236.68/80,644.16
  6. Step 6: Final answer
    x = 42,074.01

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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.