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Finding the Fourth Proportional to 80,377.80, 120,567.33 and 21,213.06

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Solution

The fourth proportional to 80,377.80, 120,567.33 and 21,213.06 is: 31,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,377.80 : 120,567.33 = 21,213.06 : x
  2. Step 2: Convert to fraction form
    80,377.80/120,567.33 = 21,213.06/x
  3. Step 3: Cross multiply
    80,377.80x = 120,567.33 × 21,213.06
  4. Step 4: Simplify right side
    80,377.80x = 2,557,602,005.33
  5. Step 5: Solve for x
    x = 2,557,602,005.33/80,377.80
  6. Step 6: Final answer
    x = 31,819.76

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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.