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Finding the Fourth Proportional to 120,353.79, 180,464.17 and 82,446.47

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Solution

The fourth proportional to 120,353.79, 180,464.17 and 82,446.47 is: 123,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,353.79 : 180,464.17 = 82,446.47 : x
  2. Step 2: Convert to fraction form
    120,353.79/180,464.17 = 82,446.47/x
  3. Step 3: Cross multiply
    120,353.79x = 180,464.17 × 82,446.47
  4. Step 4: Simplify right side
    120,353.79x = 14,878,633,777.98
  5. Step 5: Solve for x
    x = 14,878,633,777.98/120,353.79
  6. Step 6: Final answer
    x = 123,624.14

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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.