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Finding the Fourth Proportional to 120,328, 180,492 and 32,776

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Solution

The fourth proportional to 120,328, 180,492 and 32,776 is: 49,164

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,328 : 180,492 = 32,776 : x
  2. Step 2: Convert to fraction form
    120,328/180,492 = 32,776/x
  3. Step 3: Cross multiply
    120,328x = 180,492 × 32,776
  4. Step 4: Simplify right side
    120,328x = 5,915,805,792
  5. Step 5: Solve for x
    x = 5,915,805,792/120,328
  6. Step 6: Final answer
    x = 49,164

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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.