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Finding the Fourth Proportional to 120,320, 180,480 and 32,768

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Solution

The fourth proportional to 120,320, 180,480 and 32,768 is: 49,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,320 : 180,480 = 32,768 : x
  2. Step 2: Convert to fraction form
    120,320/180,480 = 32,768/x
  3. Step 3: Cross multiply
    120,320x = 180,480 × 32,768
  4. Step 4: Simplify right side
    120,320x = 5,913,968,640
  5. Step 5: Solve for x
    x = 5,913,968,640/120,320
  6. Step 6: Final answer
    x = 49,152

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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.