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Finding the Fourth Proportional to 87,876, 121,275.36 and 54,348.48

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Solution

The fourth proportional to 87,876, 121,275.36 and 54,348.48 is: 75,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,876 : 121,275.36 = 54,348.48 : x
  2. Step 2: Convert to fraction form
    87,876/121,275.36 = 54,348.48/x
  3. Step 3: Cross multiply
    87,876x = 121,275.36 × 54,348.48
  4. Step 4: Simplify right side
    87,876x = 6,591,131,477.45
  5. Step 5: Solve for x
    x = 6,591,131,477.45/87,876
  6. Step 6: Final answer
    x = 75,004.91

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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.