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Finding the Fourth Proportional to 80,341.92, 120,446.64 and 38,205.28

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Solution

The fourth proportional to 80,341.92, 120,446.64 and 38,205.28 is: 57,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,341.92 : 120,446.64 = 38,205.28 : x
  2. Step 2: Convert to fraction form
    80,341.92/120,446.64 = 38,205.28/x
  3. Step 3: Cross multiply
    80,341.92x = 120,446.64 × 38,205.28
  4. Step 4: Simplify right side
    80,341.92x = 4,601,697,606.26
  5. Step 5: Solve for x
    x = 4,601,697,606.26/80,341.92
  6. Step 6: Final answer
    x = 57,276.42

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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.