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Finding the Fourth Proportional to 120,614.85, 180,880.45 and 49,517.30

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Solution

The fourth proportional to 120,614.85, 180,880.45 and 49,517.30 is: 74,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,614.85 : 180,880.45 = 49,517.30 : x
  2. Step 2: Convert to fraction form
    120,614.85/180,880.45 = 49,517.30/x
  3. Step 3: Cross multiply
    120,614.85x = 180,880.45 × 49,517.30
  4. Step 4: Simplify right side
    120,614.85x = 8,956,711,835.19
  5. Step 5: Solve for x
    x = 8,956,711,835.19/120,614.85
  6. Step 6: Final answer
    x = 74,258.78

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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.