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Finding the Fourth Proportional to 80,349.64, 120,519.46 and 21,184

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Solution

The fourth proportional to 80,349.64, 120,519.46 and 21,184 is: 31,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,349.64 : 120,519.46 = 21,184 : x
  2. Step 2: Convert to fraction form
    80,349.64/120,519.46 = 21,184/x
  3. Step 3: Cross multiply
    80,349.64x = 120,519.46 × 21,184
  4. Step 4: Simplify right side
    80,349.64x = 2,553,084,240.64
  5. Step 5: Solve for x
    x = 2,553,084,240.64/80,349.64
  6. Step 6: Final answer
    x = 31,774.68

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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.