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Finding the Fourth Proportional to 120,551.40, 180,472.38 and 80,470.97

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Solution

The fourth proportional to 120,551.40, 180,472.38 and 80,470.97 is: 120,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,551.40 : 180,472.38 = 80,470.97 : x
  2. Step 2: Convert to fraction form
    120,551.40/180,472.38 = 80,470.97/x
  3. Step 3: Cross multiply
    120,551.40x = 180,472.38 × 80,470.97
  4. Step 4: Simplify right side
    120,551.40x = 14,522,787,726.81
  5. Step 5: Solve for x
    x = 14,522,787,726.81/120,551.40
  6. Step 6: Final answer
    x = 120,469.67

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1.5x scale

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.