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Finding the Fourth Proportional to 89,001, 122,821.74 and 49,257

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Solution

The fourth proportional to 89,001, 122,821.74 and 49,257 is: 67,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,001 : 122,821.74 = 49,257 : x
  2. Step 2: Convert to fraction form
    89,001/122,821.74 = 49,257/x
  3. Step 3: Cross multiply
    89,001x = 122,821.74 × 49,257
  4. Step 4: Simplify right side
    89,001x = 6,049,830,447.18
  5. Step 5: Solve for x
    x = 6,049,830,447.18/89,001
  6. Step 6: Final answer
    x = 67,974.86

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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.