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Finding the Fourth Proportional to 49,810, 68,738.88 and 27,454

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Solution

The fourth proportional to 49,810, 68,738.88 and 27,454 is: 37,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,810 : 68,738.88 = 27,454 : x
  2. Step 2: Convert to fraction form
    49,810/68,738.88 = 27,454/x
  3. Step 3: Cross multiply
    49,810x = 68,738.88 × 27,454
  4. Step 4: Simplify right side
    49,810x = 1,887,157,211.52
  5. Step 5: Solve for x
    x = 1,887,157,211.52/49,810
  6. Step 6: Final answer
    x = 37,887.12

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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.