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Finding the Fourth Proportional to 80,419.61, 120,630.43 and 21,254.76

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Solution

The fourth proportional to 80,419.61, 120,630.43 and 21,254.76 is: 31,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,419.61 : 120,630.43 = 21,254.76 : x
  2. Step 2: Convert to fraction form
    80,419.61/120,630.43 = 21,254.76/x
  3. Step 3: Cross multiply
    80,419.61x = 120,630.43 × 21,254.76
  4. Step 4: Simplify right side
    80,419.61x = 2,563,970,864.92
  5. Step 5: Solve for x
    x = 2,563,970,864.92/80,419.61
  6. Step 6: Final answer
    x = 31,882.41

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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.