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Finding the Fourth Proportional to 80,385.30, 120,575.52 and 21,221.28

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Solution

The fourth proportional to 80,385.30, 120,575.52 and 21,221.28 is: 31,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,385.30 : 120,575.52 = 21,221.28 : x
  2. Step 2: Convert to fraction form
    80,385.30/120,575.52 = 21,221.28/x
  3. Step 3: Cross multiply
    80,385.30x = 120,575.52 × 21,221.28
  4. Step 4: Simplify right side
    80,385.30x = 2,558,766,871.07
  5. Step 5: Solve for x
    x = 2,558,766,871.07/80,385.30
  6. Step 6: Final answer
    x = 31,831.28

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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.