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Finding the Fourth Proportional to 89,100, 122,958.24 and 49,356

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Solution

The fourth proportional to 89,100, 122,958.24 and 49,356 is: 68,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,100 : 122,958.24 = 49,356 : x
  2. Step 2: Convert to fraction form
    89,100/122,958.24 = 49,356/x
  3. Step 3: Cross multiply
    89,100x = 122,958.24 × 49,356
  4. Step 4: Simplify right side
    89,100x = 6,068,726,893.44
  5. Step 5: Solve for x
    x = 6,068,726,893.44/89,100
  6. Step 6: Final answer
    x = 68,111.41

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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.