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Finding the Fourth Proportional to 80,573.64, 120,849.30 and 21,414.12

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Solution

The fourth proportional to 80,573.64, 120,849.30 and 21,414.12 is: 32,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,573.64 : 120,849.30 = 21,414.12 : x
  2. Step 2: Convert to fraction form
    80,573.64/120,849.30 = 21,414.12/x
  3. Step 3: Cross multiply
    80,573.64x = 120,849.30 × 21,414.12
  4. Step 4: Simplify right side
    80,573.64x = 2,587,881,412.12
  5. Step 5: Solve for x
    x = 2,587,881,412.12/80,573.64
  6. Step 6: Final answer
    x = 32,118.21

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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.