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Finding the Fourth Proportional to 80,509.80, 120,779.10 and 33,767.40

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Solution

The fourth proportional to 80,509.80, 120,779.10 and 33,767.40 is: 50,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,509.80 : 120,779.10 = 33,767.40 : x
  2. Step 2: Convert to fraction form
    80,509.80/120,779.10 = 33,767.40/x
  3. Step 3: Cross multiply
    80,509.80x = 120,779.10 × 33,767.40
  4. Step 4: Simplify right side
    80,509.80x = 4,078,396,181.34
  5. Step 5: Solve for x
    x = 4,078,396,181.34/80,509.80
  6. Step 6: Final answer
    x = 50,657.14

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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.