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Finding the Fourth Proportional to 80,584.40, 120,876.60 and 21,429.20

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Solution

The fourth proportional to 80,584.40, 120,876.60 and 21,429.20 is: 32,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,584.40 : 120,876.60 = 21,429.20 : x
  2. Step 2: Convert to fraction form
    80,584.40/120,876.60 = 21,429.20/x
  3. Step 3: Cross multiply
    80,584.40x = 120,876.60 × 21,429.20
  4. Step 4: Simplify right side
    80,584.40x = 2,590,288,836.72
  5. Step 5: Solve for x
    x = 2,590,288,836.72/80,584.40
  6. Step 6: Final answer
    x = 32,143.80

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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.