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Finding the Fourth Proportional to 80,580.64, 120,859.80 and 21,421.12

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Solution

The fourth proportional to 80,580.64, 120,859.80 and 21,421.12 is: 32,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,580.64 : 120,859.80 = 21,421.12 : x
  2. Step 2: Convert to fraction form
    80,580.64/120,859.80 = 21,421.12/x
  3. Step 3: Cross multiply
    80,580.64x = 120,859.80 × 21,421.12
  4. Step 4: Simplify right side
    80,580.64x = 2,588,952,278.98
  5. Step 5: Solve for x
    x = 2,588,952,278.98/80,580.64
  6. Step 6: Final answer
    x = 32,128.71

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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.