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Finding the Fourth Proportional to 49,200, 67,896 and 29,328

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Solution

The fourth proportional to 49,200, 67,896 and 29,328 is: 40,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,200 : 67,896 = 29,328 : x
  2. Step 2: Convert to fraction form
    49,200/67,896 = 29,328/x
  3. Step 3: Cross multiply
    49,200x = 67,896 × 29,328
  4. Step 4: Simplify right side
    49,200x = 1,991,253,888
  5. Step 5: Solve for x
    x = 1,991,253,888/49,200
  6. Step 6: Final answer
    x = 40,472.64

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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.