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Finding the Fourth Proportional to 120,360, 180,540 and 32,808

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Solution

The fourth proportional to 120,360, 180,540 and 32,808 is: 49,212

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,360 : 180,540 = 32,808 : x
  2. Step 2: Convert to fraction form
    120,360/180,540 = 32,808/x
  3. Step 3: Cross multiply
    120,360x = 180,540 × 32,808
  4. Step 4: Simplify right side
    120,360x = 5,923,156,320
  5. Step 5: Solve for x
    x = 5,923,156,320/120,360
  6. Step 6: Final answer
    x = 49,212

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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.