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Finding the Fourth Proportional to 80,410.68, 120,419.11 and 56,659.86

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Solution

The fourth proportional to 80,410.68, 120,419.11 and 56,659.86 is: 84,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,410.68 : 120,419.11 = 56,659.86 : x
  2. Step 2: Convert to fraction form
    80,410.68/120,419.11 = 56,659.86/x
  3. Step 3: Cross multiply
    80,410.68x = 120,419.11 × 56,659.86
  4. Step 4: Simplify right side
    80,410.68x = 6,822,929,913.92
  5. Step 5: Solve for x
    x = 6,822,929,913.92/80,410.68
  6. Step 6: Final answer
    x = 84,851.04

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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.