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Finding the Fourth Proportional to 49,256, 73,884 and 12,320

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Solution

The fourth proportional to 49,256, 73,884 and 12,320 is: 18,480

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,256 : 73,884 = 12,320 : x
  2. Step 2: Convert to fraction form
    49,256/73,884 = 12,320/x
  3. Step 3: Cross multiply
    49,256x = 73,884 × 12,320
  4. Step 4: Simplify right side
    49,256x = 910,250,880
  5. Step 5: Solve for x
    x = 910,250,880/49,256
  6. Step 6: Final answer
    x = 18,480

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.