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Finding the Fourth Proportional to 80,582.39, 120,862.42 and 21,422.87

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Solution

The fourth proportional to 80,582.39, 120,862.42 and 21,422.87 is: 32,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,582.39 : 120,862.42 = 21,422.87 : x
  2. Step 2: Convert to fraction form
    80,582.39/120,862.42 = 21,422.87/x
  3. Step 3: Cross multiply
    80,582.39x = 120,862.42 × 21,422.87
  4. Step 4: Simplify right side
    80,582.39x = 2,589,219,911.55
  5. Step 5: Solve for x
    x = 2,589,219,911.55/80,582.39
  6. Step 6: Final answer
    x = 32,131.34

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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.