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Finding the Fourth Proportional to 80,451.12, 111,024.32 and 44,640

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Solution

The fourth proportional to 80,451.12, 111,024.32 and 44,640 is: 61,604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,451.12 : 111,024.32 = 44,640 : x
  2. Step 2: Convert to fraction form
    80,451.12/111,024.32 = 44,640/x
  3. Step 3: Cross multiply
    80,451.12x = 111,024.32 × 44,640
  4. Step 4: Simplify right side
    80,451.12x = 4,956,125,644.80
  5. Step 5: Solve for x
    x = 4,956,125,644.80/80,451.12
  6. Step 6: Final answer
    x = 61,604.18

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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.