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Finding the Fourth Proportional to 80,456.10, 120,582.06 and 36,081.06

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Solution

The fourth proportional to 80,456.10, 120,582.06 and 36,081.06 is: 54,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,456.10 : 120,582.06 = 36,081.06 : x
  2. Step 2: Convert to fraction form
    80,456.10/120,582.06 = 36,081.06/x
  3. Step 3: Cross multiply
    80,456.10x = 120,582.06 × 36,081.06
  4. Step 4: Simplify right side
    80,456.10x = 4,350,728,541.78
  5. Step 5: Solve for x
    x = 4,350,728,541.78/80,456.10
  6. Step 6: Final answer
    x = 54,075.81

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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.