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Finding the Fourth Proportional to 80,634.62, 120,938.10 and 21,456.46

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Solution

The fourth proportional to 80,634.62, 120,938.10 and 21,456.46 is: 32,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,634.62 : 120,938.10 = 21,456.46 : x
  2. Step 2: Convert to fraction form
    80,634.62/120,938.10 = 21,456.46/x
  3. Step 3: Cross multiply
    80,634.62x = 120,938.10 × 21,456.46
  4. Step 4: Simplify right side
    80,634.62x = 2,594,903,575.84
  5. Step 5: Solve for x
    x = 2,594,903,575.84/80,634.62
  6. Step 6: Final answer
    x = 32,181.01

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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.