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Finding the Fourth Proportional to 180,120, 270,180 and 48,792

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Solution

The fourth proportional to 180,120, 270,180 and 48,792 is: 73,188

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,120 : 270,180 = 48,792 : x
  2. Step 2: Convert to fraction form
    180,120/270,180 = 48,792/x
  3. Step 3: Cross multiply
    180,120x = 270,180 × 48,792
  4. Step 4: Simplify right side
    180,120x = 13,182,622,560
  5. Step 5: Solve for x
    x = 13,182,622,560/180,120
  6. Step 6: Final answer
    x = 73,188

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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.