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Finding the Fourth Proportional to 67,222.88, 100,843.68 and 29,780

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Solution

The fourth proportional to 67,222.88, 100,843.68 and 29,780 is: 44,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,222.88 : 100,843.68 = 29,780 : x
  2. Step 2: Convert to fraction form
    67,222.88/100,843.68 = 29,780/x
  3. Step 3: Cross multiply
    67,222.88x = 100,843.68 × 29,780
  4. Step 4: Simplify right side
    67,222.88x = 3,003,124,790.40
  5. Step 5: Solve for x
    x = 3,003,124,790.40/67,222.88
  6. Step 6: Final answer
    x = 44,674.15

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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.