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Finding the Fourth Proportional to 45,612, 68,361.84 and 32,392.80

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Solution

The fourth proportional to 45,612, 68,361.84 and 32,392.80 is: 48,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,612 : 68,361.84 = 32,392.80 : x
  2. Step 2: Convert to fraction form
    45,612/68,361.84 = 32,392.80/x
  3. Step 3: Cross multiply
    45,612x = 68,361.84 × 32,392.80
  4. Step 4: Simplify right side
    45,612x = 2,214,431,410.75
  5. Step 5: Solve for x
    x = 2,214,431,410.75/45,612
  6. Step 6: Final answer
    x = 48,549.32

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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.