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Finding the Fourth Proportional to 89,101, 122,959.38 and 49,357

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Solution

The fourth proportional to 89,101, 122,959.38 and 49,357 is: 68,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,101 : 122,959.38 = 49,357 : x
  2. Step 2: Convert to fraction form
    89,101/122,959.38 = 49,357/x
  3. Step 3: Cross multiply
    89,101x = 122,959.38 × 49,357
  4. Step 4: Simplify right side
    89,101x = 6,068,906,118.66
  5. Step 5: Solve for x
    x = 6,068,906,118.66/89,101
  6. Step 6: Final answer
    x = 68,112.66

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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.