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Finding the Fourth Proportional to 84,800, 117,024 and 49,472

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Solution

The fourth proportional to 84,800, 117,024 and 49,472 is: 68,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,800 : 117,024 = 49,472 : x
  2. Step 2: Convert to fraction form
    84,800/117,024 = 49,472/x
  3. Step 3: Cross multiply
    84,800x = 117,024 × 49,472
  4. Step 4: Simplify right side
    84,800x = 5,789,411,328
  5. Step 5: Solve for x
    x = 5,789,411,328/84,800
  6. Step 6: Final answer
    x = 68,271.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.