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Finding the Fourth Proportional to 80,451.76, 120,667.20 and 21,292

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Solution

The fourth proportional to 80,451.76, 120,667.20 and 21,292 is: 31,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,451.76 : 120,667.20 = 21,292 : x
  2. Step 2: Convert to fraction form
    80,451.76/120,667.20 = 21,292/x
  3. Step 3: Cross multiply
    80,451.76x = 120,667.20 × 21,292
  4. Step 4: Simplify right side
    80,451.76x = 2,569,246,022.40
  5. Step 5: Solve for x
    x = 2,569,246,022.40/80,451.76
  6. Step 6: Final answer
    x = 31,935.24

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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.