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Finding the Fourth Proportional to 80,402.42, 120,609.43 and 21,237.32

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Solution

The fourth proportional to 80,402.42, 120,609.43 and 21,237.32 is: 31,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,402.42 : 120,609.43 = 21,237.32 : x
  2. Step 2: Convert to fraction form
    80,402.42/120,609.43 = 21,237.32/x
  3. Step 3: Cross multiply
    80,402.42x = 120,609.43 × 21,237.32
  4. Step 4: Simplify right side
    80,402.42x = 2,561,420,350.69
  5. Step 5: Solve for x
    x = 2,561,420,350.69/80,402.42
  6. Step 6: Final answer
    x = 31,857.51

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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.