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Finding the Fourth Proportional to 80,570.29, 120,813.91 and 36,158.96

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Solution

The fourth proportional to 80,570.29, 120,813.91 and 36,158.96 is: 54,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,570.29 : 120,813.91 = 36,158.96 : x
  2. Step 2: Convert to fraction form
    80,570.29/120,813.91 = 36,158.96/x
  3. Step 3: Cross multiply
    80,570.29x = 120,813.91 × 36,158.96
  4. Step 4: Simplify right side
    80,570.29x = 4,368,505,339.13
  5. Step 5: Solve for x
    x = 4,368,505,339.13/80,570.29
  6. Step 6: Final answer
    x = 54,219.80

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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.